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34457046 = 23132915233
BaseRepresentation
bin1000001101110…
…0010111010110
32101211121011220
42003130113112
532310111141
63230311210
7565610601
oct203342726
971747156
1034457046
11184a50a8
12b658506
1371a58b0
14480d338
153059766
hex20dc5d6

34457046 has 32 divisors (see below), whose sum is σ = 76779360. Its totient is φ = 10235904.

The previous prime is 34457041. The next prime is 34457057. The reversal of 34457046 is 64075443.

It is a happy number.

34457046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×344570462 = 2374576038092232, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34456998 and 34457016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34457041) 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 15 ways as a sum of consecutive naturals, for example, 5355 + ... + 9878.

It is an arithmetic number, because the mean of its divisors is an integer number (2399355).

Almost surely, 234457046 is an apocalyptic number.

34457046 is an abundant number, since it is smaller than the sum of its proper divisors (42322314).

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

34457046 is a wasteful number, since it uses less digits than its factorization.

34457046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280.

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 34457046 is about 5870.0124361027. The cubic root of 34457046 is about 325.4063430252.

The spelling of 34457046 in words is "thirty-four million, four hundred fifty-seven thousand, forty-six".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 1131 2262 15233 30466 45699 91398 198029 396058 441757 594087 883514 1188174 1325271 2650542 5742841 11485682 17228523 34457046