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34469664 = 2531572287
BaseRepresentation
bin1000001101111…
…1011100100000
32101212020111020
42003133130200
532311012124
63230445440
7565662435
oct203373440
971766436
1034469664
1118503629
12b663880
1371ab568
144813b8c
15305d379
hex20df720

34469664 has 48 divisors (see below), whose sum is σ = 91099008. Its totient is φ = 11411712.

The previous prime is 34469657. The next prime is 34469717. The reversal of 34469664 is 46696443.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13929 + ... + 16215.

It is an arithmetic number, because the mean of its divisors is an integer number (1897896).

Almost surely, 234469664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34469664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45549504).

34469664 is an abundant number, since it is smaller than the sum of its proper divisors (56629344).

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

34469664 is a wasteful number, since it uses less digits than its factorization.

34469664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2449 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 34469664 is about 5871.0871225012. The cubic root of 34469664 is about 325.4460589094.

The spelling of 34469664 in words is "thirty-four million, four hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2287 2512 3768 4574 5024 6861 7536 9148 13722 15072 18296 27444 36592 54888 73184 109776 219552 359059 718118 1077177 1436236 2154354 2872472 4308708 5744944 8617416 11489888 17234832 34469664