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350819800 = 235219243113
BaseRepresentation
bin10100111010010…
…001010111011000
3220110010111021221
4110322101113120
51204302213200
654451141424
711456630152
oct2472212730
9813114257
10350819800
11170035121
12995a4874
13578b23a6
1434841ad2
1520beb91a
hex14e915d8

350819800 has 144 divisors (see below), whose sum is σ = 888659640. Its totient is φ = 128701440.

The previous prime is 350819771. The next prime is 350819813. The reversal of 350819800 is 8918053.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3104544 + ... + 3104656.

Almost surely, 2350819800 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 350819800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444329820).

350819800 is an abundant number, since it is smaller than the sum of its proper divisors (537839840).

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

350819800 is a wasteful number, since it uses less digits than its factorization.

350819800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 350819800 is about 18730.1841955705. The cubic root of 350819800 is about 705.2796704071.

The spelling of 350819800 in words is "three hundred fifty million, eight hundred nineteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 43 50 76 86 95 100 113 152 172 190 200 215 226 344 361 380 430 452 475 565 722 760 817 860 904 950 1075 1130 1444 1634 1720 1805 1900 2147 2150 2260 2825 2888 3268 3610 3800 4085 4294 4300 4520 4859 5650 6536 7220 8170 8588 8600 9025 9718 10735 11300 14440 15523 16340 17176 18050 19436 20425 21470 22600 24295 31046 32680 36100 38872 40793 40850 42940 48590 53675 62092 72200 77615 81586 81700 85880 92321 97180 107350 121475 124184 155230 163172 163400 184642 194360 203965 214700 242950 310460 326344 369284 388075 407930 429400 461605 485900 620920 738568 776150 815860 923210 971800 1019825 1552300 1631720 1754099 1846420 2039650 2308025 3104600 3508198 3692840 4079300 4616050 7016396 8158600 8770495 9232100 14032792 17540990 18464200 35081980 43852475 70163960 87704950 175409900 350819800