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34468920 = 2332595747
BaseRepresentation
bin1000001101111…
…1010000111000
32101212012110200
42003133100320
532311001140
63230442200
7565660323
oct203372070
971765420
1034468920
1118503012
12b663360
1371ab115
1448137ba
15305d030
hex20df438

34468920 has 48 divisors (see below), whose sum is σ = 112025160. Its totient is φ = 9191616.

The previous prime is 34468919. The next prime is 34468937. The reversal of 34468920 is 2986443.

It is a happy number.

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

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, 47514 + ... + 48233.

Almost surely, 234468920 is an apocalyptic number.

34468920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34468920 is an abundant number, since it is smaller than the sum of its proper divisors (77556240).

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

34468920 is a wasteful number, since it uses less digits than its factorization.

34468920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95764 (or 95757 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34468920 is about 5871.0237608104. The cubic root of 34468920 is about 325.4437173953.

The spelling of 34468920 in words is "thirty-four million, four hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 95747 191494 287241 382988 478735 574482 765976 861723 957470 1148964 1436205 1723446 1914940 2297928 2872410 3446892 3829880 4308615 5744820 6893784 8617230 11489640 17234460 34468920