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350425056 = 25319238353
BaseRepresentation
bin10100111000110…
…000111111100000
3220102101102210210
4110320300333200
51204202100211
654434454120
711453364252
oct2470607740
9812342723
10350425056
1116a895593
1299434340
13577a4807
143477bcd2
1520b6e9a6
hex14e30fe0

350425056 has 96 divisors (see below), whose sum is σ = 1010499840. Its totient is φ = 105836544.

The previous prime is 350425051. The next prime is 350425109. The reversal of 350425056 is 650524053.

350425056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350425051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37776 + ... + 46128.

It is an arithmetic number, because the mean of its divisors is an integer number (10526040).

Almost surely, 2350425056 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 350425056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505249920).

350425056 is an abundant number, since it is smaller than the sum of its proper divisors (660074784).

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

350425056 is a wasteful number, since it uses less digits than its factorization.

350425056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8408 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 350425056 is about 18719.6435863507. The cubic root of 350425056 is about 705.0150431879.

The spelling of 350425056 in words is "three hundred fifty million, four hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 368 437 456 552 608 736 874 912 1104 1311 1748 1824 2208 2622 3496 5244 6992 8353 10488 13984 16706 20976 25059 33412 41952 50118 66824 100236 133648 158707 192119 200472 267296 317414 384238 400944 476121 576357 634828 768476 801888 952242 1152714 1269656 1536952 1904484 2305428 2539312 3073904 3650261 3808968 4610856 5078624 6147808 7300522 7617936 9221712 10950783 14601044 15235872 18443424 21901566 29202088 43803132 58404176 87606264 116808352 175212528 350425056