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34993506 = 231312112
BaseRepresentation
bin1000010101111…
…1010101100010
32102211212001210
42011133111202
532424243011
63250010550
7603303612
oct205372542
972755053
1034993506
1118831159
12b876a56
137332b22
14490ca42
1531136a6
hex215f562

34993506 has 24 divisors (see below), whose sum is σ = 70857072. Its totient is φ = 11520600.

The previous prime is 34993487. The next prime is 34993579. The reversal of 34993506 is 60539943.

34993506 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-3 number, since 3×349935063 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

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, 165741 + ... + 165951.

It is an arithmetic number, because the mean of its divisors is an integer number (2952378).

Almost surely, 234993506 is an apocalyptic number.

34993506 is an abundant number, since it is smaller than the sum of its proper divisors (35863566).

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

34993506 is a wasteful number, since it uses less digits than its factorization.

34993506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 34993506 is about 5915.5309144658. The cubic root of 34993506 is about 327.0863990012.

The spelling of 34993506 in words is "thirty-four million, nine hundred ninety-three thousand, five hundred six".

Divisors: 1 2 3 6 131 211 262 393 422 633 786 1266 27641 44521 55282 82923 89042 133563 165846 267126 5832251 11664502 17496753 34993506