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350275752 = 2336173533
BaseRepresentation
bin10100111000001…
…100100010101000
3220102002212000000
4110320030202220
51204132311002
654431343000
711452203051
oct2470144250
9812085000
10350275752
1116a7a33a2
1299381a60
1357751878
143473d728
1520b4061c
hex14e0c8a8

350275752 has 112 divisors (see below), whose sum is σ = 1042918740. Its totient is φ = 109859328.

The previous prime is 350275747. The next prime is 350275801. The reversal of 350275752 is 257572053.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 315630756 + 34644996 = 17766^2 + 5886^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 97378 + ... + 100910.

Almost surely, 2350275752 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 350275752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521459370).

350275752 is an abundant number, since it is smaller than the sum of its proper divisors (692642988).

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

350275752 is a wasteful number, since it uses less digits than its factorization.

350275752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 350275752 is about 18715.6552650448. The cubic root of 350275752 is about 704.9149014532.

The spelling of 350275752 in words is "three hundred fifty million, two hundred seventy-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1224 1377 1458 1836 1944 2754 2916 3533 3672 4131 5508 5832 7066 8262 10599 11016 12393 14132 16524 21198 24786 28264 31797 33048 42396 49572 60061 63594 84792 95391 99144 120122 127188 180183 190782 240244 254376 286173 360366 381564 480488 540549 572346 720732 763128 858519 1081098 1144692 1441464 1621647 1717038 2162196 2289384 2575557 3243294 3434076 4324392 4864941 5151114 6486588 6868152 9729882 10302228 12973176 14594823 19459764 20604456 29189646 38919528 43784469 58379292 87568938 116758584 175137876 350275752