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238941768 = 233134118679
BaseRepresentation
bin11100011110111…
…11011001001000
3121122121111111010
432033133121020
5442132114033
635413203520
75630654142
oct1617373110
9548544433
10238941768
1111297053a
12680305a0
133a670280
1423a3bc92
1515e9c863
hexe3df648

238941768 has 64 divisors (see below), whose sum is σ = 659030400. Its totient is φ = 71723520.

The previous prime is 238941743. The next prime is 238941797. The reversal of 238941768 is 867149832.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3453 + ... + 22131.

It is an arithmetic number, because the mean of its divisors is an integer number (10297350).

Almost surely, 2238941768 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 238941768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329515200).

238941768 is an abundant number, since it is smaller than the sum of its proper divisors (420088632).

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

238941768 is a wasteful number, since it uses less digits than its factorization.

238941768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18742 (or 18738 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 238941768 is about 15457.7413615314. The cubic root of 238941768 is about 620.5317740825.

The spelling of 238941768 in words is "two hundred thirty-eight million, nine hundred forty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 4264 6396 12792 18679 37358 56037 74716 112074 149432 224148 242827 448296 485654 728481 765839 971308 1456962 1531678 1942616 2297517 2913924 3063356 4595034 5827848 6126712 9190068 9955907 18380136 19911814 29867721 39823628 59735442 79647256 119470884 238941768