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34940206152 = 23323713115693
BaseRepresentation
bin100000100010100110…
…010011110001001000
310100012001011101012100
4200202212103301020
51033024143044102
624015025513400
72344564565145
oct404246236110
9110161141170
1034940206152
11138aa921035
1269314a2860
1333aaa197c7
1419965c33cc
15d976bda1c
hex822993c48

34940206152 has 48 divisors (see below), whose sum is σ = 97187292540. Its totient is φ = 11331957888.

The previous prime is 34940206139. The next prime is 34940206157. The reversal of 34940206152 is 25160204943.

It is a happy number.

34940206152 is a `hidden beast` number, since 34 + 9 + 4 + 0 + 2 + 0 + 615 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34326455076 + 613751076 = 185274^2 + 24774^2 .

It is a super-3 number, since 3×349402061523 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34940206157) 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 11 ways as a sum of consecutive naturals, for example, 6555183 + ... + 6560510.

Almost surely, 234940206152 is an apocalyptic number.

It is an amenable number.

34940206152 is an abundant number, since it is smaller than the sum of its proper divisors (62247086388).

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

34940206152 is a wasteful number, since it uses less digits than its factorization.

34940206152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13115742 (or 13115735 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34940206152 in words is "thirty-four billion, nine hundred forty million, two hundred six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 13115693 26231386 39347079 52462772 78694158 104925544 118041237 157388316 236082474 314776632 472164948 485280641 944329896 970561282 1455841923 1941122564 2911683846 3882245128 4367525769 5823367692 8735051538 11646735384 17470103076 34940206152