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3414034272 = 253113232987
BaseRepresentation
bin1100101101111110…
…0000011101100000
322210221002220120210
43023133200131200
523442443044042
61322434334120
7150413545455
oct31337403540
98727086523
103414034272
1114a2151530
127b342a340
134253caa2c
142455c182c
1514eacaa9c
hexcb7e0760

3414034272 has 48 divisors (see below), whose sum is σ = 9776555712. Its totient is φ = 1034555520.

The previous prime is 3414034259. The next prime is 3414034277. The reversal of 3414034272 is 2724304143.

3414034272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414034277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1615438 + ... + 1617549.

It is an arithmetic number, because the mean of its divisors is an integer number (203678244).

Almost surely, 23414034272 is an apocalyptic number.

3414034272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3414034272 is an abundant number, since it is smaller than the sum of its proper divisors (6362521440).

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

3414034272 is a wasteful number, since it uses less digits than its factorization.

3414034272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233011 (or 3233003 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 3414034272 is about 58429.7379080208. The cubic root of 3414034272 is about 1505.7607029899.

The spelling of 3414034272 in words is "three billion, four hundred fourteen million, thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 3232987 6465974 9698961 12931948 19397922 25863896 35562857 38795844 51727792 71125714 77591688 103455584 106688571 142251428 155183376 213377142 284502856 310366752 426754284 569005712 853508568 1138011424 1707017136 3414034272