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34944667416 = 23323115656213
BaseRepresentation
bin100000100010110111…
…010100111100011000
310100012100120000220100
4200202313110330120
51033031313324131
624015305255400
72344650525561
oct404267247430
9110170500810
1034944667416
111390239892a
126932a94560
1333ab91c2c9
141997025168
15d97ca07e6
hex822dd4f18

34944667416 has 48 divisors (see below), whose sum is σ = 97694775360. Its totient is φ = 11272472640.

The previous prime is 34944667379. The next prime is 34944667421. The reversal of 34944667416 is 61476644943.

It is a super-2 number, since 2×349446674162 (a number of 22 digits) contains 22 as substring.

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, 7825875 + ... + 7830338.

It is an arithmetic number, because the mean of its divisors is an integer number (2035307820).

Almost surely, 234944667416 is an apocalyptic number.

34944667416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34944667416 is an abundant number, since it is smaller than the sum of its proper divisors (62750107944).

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

34944667416 is a wasteful number, since it uses less digits than its factorization.

34944667416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15656256 (or 15656249 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 34944667416 in words is "thirty-four billion, nine hundred forty-four million, six hundred sixty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 15656213 31312426 46968639 62624852 93937278 125249704 140905917 187874556 281811834 375749112 485342603 563623668 970685206 1127247336 1456027809 1941370412 2912055618 3882740824 4368083427 5824111236 8736166854 11648222472 17472333708 34944667416