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3441314040 = 233541968443
BaseRepresentation
bin1100110100011110…
…0100100011111000
322212211102212101120
43031013210203320
524021434022130
61325251145240
7151164454353
oct31507444370
98784385346
103441314040
11150659419a
128005a5220
1342ac5c7c8
1424908329a
151521b8910
hexcd1e48f8

3441314040 has 64 divisors (see below), whose sum is σ = 10348732800. Its totient is φ = 915480192.

The previous prime is 3441314033. The next prime is 3441314053. The reversal of 3441314040 is 404131443.

3441314040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34413140402 = 23685284643802243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3441314040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16059 + ... + 84501.

It is an arithmetic number, because the mean of its divisors is an integer number (161698950).

Almost surely, 23441314040 is an apocalyptic number.

3441314040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3441314040 is an abundant number, since it is smaller than the sum of its proper divisors (6907418760).

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

3441314040 is a wasteful number, since it uses less digits than its factorization.

3441314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68876 (or 68872 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3441314040 is about 58662.7142229202. The cubic root of 3441314040 is about 1509.7606509216.

Adding to 3441314040 its reverse (404131443), we get a palindrome (3845445483).

The spelling of 3441314040 in words is "three billion, four hundred forty-one million, three hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 419 838 1257 1676 2095 2514 3352 4190 5028 6285 8380 10056 12570 16760 25140 50280 68443 136886 205329 273772 342215 410658 547544 684430 821316 1026645 1368860 1642632 2053290 2737720 4106580 8213160 28677617 57355234 86032851 114710468 143388085 172065702 229420936 286776170 344131404 430164255 573552340 688262808 860328510 1147104680 1720657020 3441314040