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3457914944 = 261123213557
BaseRepresentation
bin1100111000011011…
…1001100001000000
322220222200021112212
43032012321201000
524040211234234
61331043041252
7151455535451
oct31606714100
98828607485
103457914944
1115149a2750
12806070228
13431522a23
1424b365128
151538975ce
hexce1b9840

3457914944 has 56 divisors (see below), whose sum is σ = 7811097408. Its totient is φ = 1503434240.

The previous prime is 3457914919. The next prime is 3457914947. The reversal of 3457914944 is 4494197543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3457914892 and 3457914901.

It is not an unprimeable number, because it can be changed into a prime (3457914947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90587 + ... + 122970.

Almost surely, 23457914944 is an apocalyptic number.

It is an amenable number.

3457914944 is an abundant number, since it is smaller than the sum of its proper divisors (4353182464).

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

3457914944 is a wasteful number, since it uses less digits than its factorization.

3457914944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213603 (or 213593 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 50.

The square root of 3457914944 is about 58804.0385007697. The cubic root of 3457914944 is about 1512.1844534822.

The spelling of 3457914944 in words is "three billion, four hundred fifty-seven million, nine hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 4048 8096 16192 213557 427114 854228 1708456 2349127 3416912 4698254 4911811 6833824 9396508 9823622 13667648 18793016 19647244 37586032 39294488 54029921 75172064 78588976 108059842 150344128 157177952 216119684 314355904 432239368 864478736 1728957472 3457914944