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348840864 = 25331632477
BaseRepresentation
bin10100110010101…
…110001110100000
3220022101221201000
4110302232032200
51203300401424
654340512000
711434045521
oct2462561640
9808357630
10348840864
11169a03339
12989ab600
135736b718
1434488848
152095a3c9
hex14cae3a0

348840864 has 96 divisors (see below), whose sum is σ = 1024107840. Its totient is φ = 115520256.

The previous prime is 348840857. The next prime is 348840881. The reversal of 348840864 is 468048843.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 139594 + ... + 142070.

It is an arithmetic number, because the mean of its divisors is an integer number (10667790).

Almost surely, 2348840864 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 348840864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512053920).

348840864 is an abundant number, since it is smaller than the sum of its proper divisors (675266976).

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

348840864 is a wasteful number, since it uses less digits than its factorization.

348840864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 348840864 is about 18677.2820292461. The cubic root of 348840864 is about 703.9510339566.

The spelling of 348840864 in words is "three hundred forty-eight million, eight hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 163 216 288 326 432 489 652 864 978 1304 1467 1956 2477 2608 2934 3912 4401 4954 5216 5868 7431 7824 8802 9908 11736 14862 15648 17604 19816 22293 23472 29724 35208 39632 44586 46944 59448 66879 70416 79264 89172 118896 133758 140832 178344 237792 267516 356688 403751 535032 713376 807502 1070064 1211253 1615004 2140128 2422506 3230008 3633759 4845012 6460016 7267518 9690024 10901277 12920032 14535036 19380048 21802554 29070072 38760096 43605108 58140144 87210216 116280288 174420432 348840864