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350755164 = 223341113701
BaseRepresentation
bin10100111010000…
…001100101011100
3220110000012122000
4110322001211130
51204243131124
654445522300
711456240544
oct2472014534
9813005560
10350755164
1116aaa0601
1299573390
135788bb46
1434826324
1520bd76c9
hex14e8195c

350755164 has 96 divisors (see below), whose sum is σ = 941129280. Its totient is φ = 112896000.

The previous prime is 350755147. The next prime is 350755183. The reversal of 350755164 is 461557053.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 500014 + ... + 500714.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2350755164 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 350755164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

350755164 is an abundant number, since it is smaller than the sum of its proper divisors (590374116).

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

350755164 is a wasteful number, since it uses less digits than its factorization.

350755164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 350755164 is about 18728.4586658913. The cubic root of 350755164 is about 705.2363535279.

The spelling of 350755164 in words is "three hundred fifty million, seven hundred fifty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 113 123 164 226 246 339 369 452 492 678 701 738 1017 1107 1356 1402 1476 2034 2103 2214 2804 3051 4068 4206 4428 4633 6102 6309 8412 9266 12204 12618 13899 18532 18927 25236 27798 28741 37854 41697 55596 57482 75708 79213 83394 86223 114964 125091 158426 166788 172446 237639 250182 258669 316852 344892 475278 500364 517338 712917 776007 950556 1034676 1425834 1552014 2138751 2851668 3104028 3247733 4277502 6495466 8555004 9743199 12990932 19486398 29229597 38972796 58459194 87688791 116918388 175377582 350755164