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238082376 = 23372443457
BaseRepresentation
bin11100011000011…
…01100101001000
3121120222211121210
432030031211020
5441422114001
635342533120
75620444500
oct1614154510
9546884553
10238082376
111124338a4
12678971a0
133a42c05c
1423896a00
1515d7cdd6
hexe30d948

238082376 has 96 divisors (see below), whose sum is σ = 695463840. Its totient is φ = 67721472.

The previous prime is 238082371. The next prime is 238082437. The reversal of 238082376 is 673280832.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (238082371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520740 + ... + 521196.

It is an arithmetic number, because the mean of its divisors is an integer number (7244415).

Almost surely, 2238082376 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 238082376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347731920).

238082376 is an abundant number, since it is smaller than the sum of its proper divisors (457381464).

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

238082376 is a wasteful number, since it uses less digits than its factorization.

238082376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 238082376 is about 15429.9182110600. The cubic root of 238082376 is about 619.7869333772.

The spelling of 238082376 in words is "two hundred thirty-eight million, eighty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 443 457 588 886 914 1176 1329 1371 1772 1828 2658 2742 3101 3199 3544 3656 5316 5484 6202 6398 9303 9597 10632 10968 12404 12796 18606 19194 21707 22393 24808 25592 37212 38388 43414 44786 65121 67179 74424 76776 86828 89572 130242 134358 173656 179144 202451 260484 268716 404902 520968 537432 607353 809804 1214706 1417157 1619608 2429412 2834314 4251471 4858824 5668628 8502942 9920099 11337256 17005884 19840198 29760297 34011768 39680396 59520594 79360792 119041188 238082376