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190957344 = 25329113607
BaseRepresentation
bin10110110000111…
…00011100100000
3111022022122020020
423120130130200
5342341113334
630540513440
74506052644
oct1330343440
9438278206
10190957344
1198877096
1253b4b880
133073c416
141b50ac24
1511b6ee49
hexb61c720

190957344 has 96 divisors (see below), whose sum is σ = 523998720. Its totient is φ = 60813312.

The previous prime is 190957337. The next prime is 190957369. The reversal of 190957344 is 443759091.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 190957296 and 190957305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314289 + ... + 314895.

It is an arithmetic number, because the mean of its divisors is an integer number (5458320).

Almost surely, 2190957344 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 190957344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261999360).

190957344 is an abundant number, since it is smaller than the sum of its proper divisors (333041376).

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

190957344 is a wasteful number, since it uses less digits than its factorization.

190957344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 190957344 is about 13818.7316349946. The cubic root of 190957344 is about 575.8536472307.

The spelling of 190957344 in words is "one hundred ninety million, nine hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 113 116 174 226 232 339 348 452 464 607 678 696 904 928 1214 1356 1392 1808 1821 2428 2712 2784 3277 3616 3642 4856 5424 6554 7284 9712 9831 10848 13108 14568 17603 19424 19662 26216 29136 35206 39324 52432 52809 58272 68591 70412 78648 104864 105618 137182 140824 157296 205773 211236 274364 281648 314592 411546 422472 548728 563296 823092 844944 1097456 1646184 1689888 1989139 2194912 3292368 3978278 5967417 6584736 7956556 11934834 15913112 23869668 31826224 47739336 63652448 95478672 190957344