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34409956 = 22724192
BaseRepresentation
bin1000001101000…
…0110111100100
32101202012120211
42003100313210
532302104311
63225305204
7565323400
oct203206744
971665524
1034409956
1118472789
12b635204
13718a329
1447da100
15304a821
hex20d0de4

34409956 has 27 divisors (see below), whose sum is σ = 70216419. Its totient is φ = 14711928.

The previous prime is 34409941. The next prime is 34409957. The reversal of 34409956 is 65990443.

The square root of 34409956 is 5866.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (34409957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 81915 + ... + 82333.

Almost surely, 234409956 is an apocalyptic number.

34409956 is the 5866-th square number.

It is an amenable number.

34409956 is an abundant number, since it is smaller than the sum of its proper divisors (35806463).

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

34409956 is an equidigital number, since it uses as much as digits as its factorization.

34409956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The cubic root of 34409956 is about 325.2580388588.

The spelling of 34409956 in words is "thirty-four million, four hundred nine thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 98 196 419 838 1676 2933 5866 11732 20531 41062 82124 175561 351122 702244 1228927 2457854 4915708 8602489 17204978 34409956