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34313856 = 273193463
BaseRepresentation
bin1000001011100…
…1011010000000
32101120022202120
42002321122000
532241020411
63223244240
7564443253
oct202713200
971508676
1034313856
1118407565
12b5a9680
137155675
1447b309a
15302c106
hex20b9680

34313856 has 64 divisors (see below), whose sum is σ = 91816320. Its totient is φ = 11354112.

The previous prime is 34313819. The next prime is 34313863. The reversal of 34313856 is 65831343.

It is a tau number, because it is divible by the number of its divisors (64).

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, 73881 + ... + 74343.

It is an arithmetic number, because the mean of its divisors is an integer number (1434630).

Almost surely, 234313856 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 34313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45908160).

34313856 is an abundant number, since it is smaller than the sum of its proper divisors (57502464).

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

34313856 is a wasteful number, since it uses less digits than its factorization.

34313856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 661 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 34313856 is about 5857.8030011259. The cubic root of 34313856 is about 324.9549633846.

The spelling of 34313856 in words is "thirty-four million, three hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 384 386 463 579 772 926 1158 1389 1544 1852 2316 2778 3088 3704 4632 5556 6176 7408 9264 11112 12352 14816 18528 22224 24704 29632 37056 44448 59264 74112 88896 89359 177792 178718 268077 357436 536154 714872 1072308 1429744 2144616 2859488 4289232 5718976 8578464 11437952 17156928 34313856