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3284332416 = 273215831801
BaseRepresentation
bin1100001111000010…
…1110111110000000
322110220001101002100
43003300232332000
523211242114131
61301522350400
7144250236111
oct30360567600
98426041070
103284332416
111435a13612
12777abb400
13404587b81
1423229c208
1514350a7e6
hexc3c2ef80

3284332416 has 96 divisors (see below), whose sum is σ = 9462229920. Its totient is φ = 1093478400.

The previous prime is 3284332399. The next prime is 3284332433. The reversal of 3284332416 is 6142334823.

3284332416 is a `hidden beast` number, since 3 + 284 + 332 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3284332399) and next prime (3284332433).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1822716 + ... + 1824516.

It is an arithmetic number, because the mean of its divisors is an integer number (98564895).

Almost surely, 23284332416 is an apocalyptic number.

3284332416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3284332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731114960).

3284332416 is an abundant number, since it is smaller than the sum of its proper divisors (6177897504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3284332416 is a wasteful number, since it uses less digits than its factorization.

3284332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3389 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 3284332416 is about 57309.0954037839. The cubic root of 3284332416 is about 1486.4456540571.

The spelling of 3284332416 in words is "three billion, two hundred eighty-four million, three hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1583 1801 3166 3602 4749 5403 6332 7204 9498 10806 12664 14247 14408 16209 18996 21612 25328 28494 28816 32418 37992 43224 50656 56988 57632 64836 75984 86448 101312 113976 115264 129672 151968 172896 202624 227952 230528 259344 303936 345792 455904 518688 607872 691584 911808 1037376 1823616 2074752 2850983 5701966 8552949 11403932 17105898 22807864 25658847 34211796 45615728 51317694 68423592 91231456 102635388 136847184 182462912 205270776 273694368 364925824 410541552 547388736 821083104 1094777472 1642166208 3284332416