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3474480 = 243531467
BaseRepresentation
bin1101010000010000110000
320112112002110
431100100300
51342140410
6202245320
741350452
oct15202060
96475073
103474480
111a63479
1211b6840
13948609
146662d2
15489720
hex350430

3474480 has 80 divisors (see below), whose sum is σ = 11142144. Its totient is φ = 894720.

The previous prime is 3474479. The next prime is 3474503. The reversal of 3474480 is 844743.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34744802 = 24144022540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 36 + 48 + 73 + 49 + 410 + 87 + 0 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7207 + ... + 7673.

Almost surely, 23474480 is an apocalyptic number.

3474480 is a gapful number since it is divisible by the number (30) 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 3474480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571072).

3474480 is an abundant number, since it is smaller than the sum of its proper divisors (7667664).

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

3474480 is a wasteful number, since it uses less digits than its factorization.

3474480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 3474480 is about 1863.9957081496. The cubic root of 3474480 is about 151.4595301940.

The spelling of 3474480 in words is "three million, four hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 467 496 620 744 930 934 1240 1401 1488 1860 1868 2335 2480 2802 3720 3736 4670 5604 7005 7440 7472 9340 11208 14010 14477 18680 22416 28020 28954 37360 43431 56040 57908 72385 86862 112080 115816 144770 173724 217155 231632 289540 347448 434310 579080 694896 868620 1158160 1737240 3474480