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195679344 = 24372271307
BaseRepresentation
bin10111010100111…
…01010001110000
3111122012112121010
423222131101300
5400043214334
631230030520
74564150500
oct1352352160
9448175533
10195679344
11a0501873
1255648440
13317037c3
141bdb9a00
15122a40e9
hexba9d470

195679344 has 120 divisors (see below), whose sum is σ = 592128768. Its totient is φ = 55520640.

The previous prime is 195679321. The next prime is 195679391. The reversal of 195679344 is 443976591.

195679344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 195679293 and 195679302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637239 + ... + 637545.

Almost surely, 2195679344 is an apocalyptic number.

195679344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195679344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296064384).

195679344 is an abundant number, since it is smaller than the sum of its proper divisors (396449424).

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

195679344 is a wasteful number, since it uses less digits than its factorization.

195679344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 590 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 195679344 is about 13988.5433122967. The cubic root of 195679344 is about 580.5616280039.

The spelling of 195679344 in words is "one hundred ninety-five million, six hundred seventy-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 271 294 307 336 392 542 588 614 784 813 921 1084 1176 1228 1626 1842 1897 2149 2168 2352 2456 3252 3684 3794 4298 4336 4912 5691 6447 6504 7368 7588 8596 11382 12894 13008 13279 14736 15043 15176 17192 22764 25788 26558 30086 30352 34384 39837 45129 45528 51576 53116 60172 79674 83197 90258 91056 103152 106232 120344 159348 166394 180516 212464 240688 249591 318696 332788 361032 499182 582379 637392 665576 722064 998364 1164758 1331152 1747137 1996728 2329516 3494274 3993456 4076653 4659032 6988548 8153306 9318064 12229959 13977096 16306612 24459918 27954192 32613224 48919836 65226448 97839672 195679344