Search a number
-
+
350163996 = 2237213192411
BaseRepresentation
bin10100110111110…
…001010000011100
3220101220011200220
4110313301100130
51204120221441
654425121340
711451226200
oct2467612034
9811804626
10350163996
1116a727436
1299329250
1357712a40
1434710b00
1520b1c466
hex14df141c

350163996 has 144 divisors (see below), whose sum is σ = 1077874560. Its totient is φ = 87454080.

The previous prime is 350163971. The next prime is 350164013. The reversal of 350163996 is 699361053.

It is a super-2 number, since 2×3501639962 = 245229648189376032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144031 + ... + 146441.

It is an arithmetic number, because the mean of its divisors is an integer number (7485240).

Almost surely, 2350163996 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 350163996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538937280).

350163996 is an abundant number, since it is smaller than the sum of its proper divisors (727710564).

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

350163996 is a wasteful number, since it uses less digits than its factorization.

350163996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The square root of 350163996 is about 18712.6693980308. The cubic root of 350163996 is about 704.8399254294.

The spelling of 350163996 in words is "three hundred fifty million, one hundred sixty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 294 364 399 494 532 546 588 637 741 798 931 988 1092 1274 1482 1596 1729 1862 1911 2411 2548 2793 2964 3458 3724 3822 4822 5187 5586 6916 7233 7644 9644 10374 11172 12103 14466 16877 20748 24206 28932 31343 33754 36309 45809 48412 50631 62686 67508 72618 91618 94029 101262 118139 125372 137427 145236 183236 188058 202524 219401 236278 274854 320663 354417 376116 438802 472556 549708 595517 641326 658203 708834 877604 961989 1191034 1282652 1316406 1417668 1535807 1786551 1923978 2244641 2382068 2632812 3071614 3573102 3847956 4168619 4489282 4607421 6143228 6733923 7146204 8337238 8978564 9214842 12505857 13467846 16674476 18429684 25011714 26935692 29180333 50023428 58360666 87540999 116721332 175081998 350163996