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238096368 = 24332331773
BaseRepresentation
bin11100011000100…
…00111111110000
3121121000112211000
432030100333300
5441423040433
635343122000
75620533336
oct1614207760
9547015730
10238096368
11112443364
12678a3300
133a435533
142389bb56
1515d82113
hexe310ff0

238096368 has 160 divisors (see below), whose sum is σ = 737095680. Its totient is φ = 73370880.

The previous prime is 238096303. The next prime is 238096379. The reversal of 238096368 is 863690832.

238096368 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 9 + 636 + 8 = 666.

238096368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307630 + ... + 308402.

It is an arithmetic number, because the mean of its divisors is an integer number (4606848).

Almost surely, 2238096368 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 238096368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368547840).

238096368 is an abundant number, since it is smaller than the sum of its proper divisors (498999312).

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

238096368 is a wasteful number, since it uses less digits than its factorization.

238096368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 238096368 is about 15430.3716092646. The cubic root of 238096368 is about 619.7990746775.

The spelling of 238096368 in words is "two hundred thirty-eight million, ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 31 36 46 48 54 62 69 72 92 93 108 124 138 144 184 186 207 216 248 276 279 368 372 414 432 496 552 558 621 713 744 773 828 837 1104 1116 1242 1426 1488 1546 1656 1674 2139 2232 2319 2484 2852 3092 3312 3348 4278 4464 4638 4968 5704 6184 6417 6696 6957 8556 9276 9936 11408 12368 12834 13392 13914 17112 17779 18552 19251 20871 23963 25668 27828 34224 35558 37104 38502 41742 47926 51336 53337 55656 71116 71889 77004 83484 95852 102672 106674 111312 142232 143778 154008 160011 166968 191704 213348 215667 284464 287556 308016 320022 333936 383408 426696 431334 480033 551149 575112 640044 647001 853392 862668 960066 1102298 1150224 1280088 1294002 1653447 1725336 1920132 2204596 2560176 2588004 3306894 3450672 3840264 4409192 4960341 5176008 6613788 7680528 8818384 9920682 10352016 13227576 14881023 19841364 26455152 29762046 39682728 59524092 79365456 119048184 238096368