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238868352 = 273423039
BaseRepresentation
bin11100011110011…
…01011110000000
3121122110202210000
432033031132000
5442122241402
635411440000
75630230122
oct1617153600
9548422700
10238868352
11112920368
1267bb6000
133a645a28
1423a1d212
1515e85c1c
hexe3cd780

238868352 has 80 divisors (see below), whose sum is σ = 710899200. Its totient is φ = 79619328.

The previous prime is 238868351. The next prime is 238868369. The reversal of 238868352 is 253868832.

238868352 is a `hidden beast` number, since 238 + 8 + 68 + 352 = 666.

238868352 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 238868298 and 238868307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238868351) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1152 + ... + 21887.

It is an arithmetic number, because the mean of its divisors is an integer number (8886240).

Almost surely, 2238868352 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 238868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355449600).

238868352 is an abundant number, since it is smaller than the sum of its proper divisors (472030848).

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

238868352 is an equidigital number, since it uses as much as digits as its factorization.

238868352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23065 (or 23044 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 238868352 is about 15455.3664466424. The cubic root of 238868352 is about 620.4682137881.

The spelling of 238868352 in words is "two hundred thirty-eight million, eight hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 23039 46078 69117 92156 138234 184312 207351 276468 368624 414702 552936 622053 737248 829404 1105872 1244106 1474496 1658808 1866159 2211744 2488212 2948992 3317616 3732318 4423488 4976424 6635232 7464636 8846976 9952848 13270464 14929272 19905696 26540928 29858544 39811392 59717088 79622784 119434176 238868352