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34093984 = 253173361
BaseRepresentation
bin1000001000001…
…1101110100000
32101011011011011
42002003232200
532212001414
63214430304
7562536241
oct202035640
971134134
1034093984
1118277351
12b502394
1370a9572
144756cc8
152ed6dc4
hex2083ba0

34093984 has 24 divisors (see below), whose sum is σ = 67354308. Its totient is φ = 16988160.

The previous prime is 34093979. The next prime is 34094009. The reversal of 34093984 is 48939043.

It can be written as a sum of positive squares in 2 ways, for example, as 33408400 + 685584 = 5780^2 + 828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8464 + ... + 11824.

Almost surely, 234093984 is an apocalyptic number.

It is an amenable number.

34093984 is a deficient number, since it is larger than the sum of its proper divisors (33260324).

34093984 is a wasteful number, since it uses less digits than its factorization.

34093984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 34093984 is about 5839.0053947569. The cubic root of 34093984 is about 324.2594071491.

The spelling of 34093984 in words is "thirty-four million, ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 317 634 1268 2536 3361 5072 6722 10144 13444 26888 53776 107552 1065437 2130874 4261748 8523496 17046992 34093984