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238948440 = 233515113187
BaseRepresentation
bin11100011111000…
…01000001011000
3121122121211122020
432033201001120
5442132322230
635413254440
75631012453
oct1617410130
9548554566
10238948440
11112975555
1268034420
133a673313
1423a4049a
1515e9e810
hexe3e1058

238948440 has 64 divisors (see below), whose sum is σ = 721647360. Its totient is φ = 63292800.

The previous prime is 238948399. The next prime is 238948459. The reversal of 238948440 is 44849832.

It is a junction number, because it is equal to n+sod(n) for n = 238948392 and 238948401.

It is a congruent number.

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, 11527 + ... + 24713.

It is an arithmetic number, because the mean of its divisors is an integer number (11275740).

Almost surely, 2238948440 is an apocalyptic number.

238948440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238948440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360823680).

238948440 is an abundant number, since it is smaller than the sum of its proper divisors (482698920).

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

238948440 is a wasteful number, since it uses less digits than its factorization.

238948440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13352 (or 13348 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 238948440 is about 15457.9571742194. The cubic root of 238948440 is about 620.5375497568.

The spelling of 238948440 in words is "two hundred thirty-eight million, nine hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 4530 6040 9060 13187 18120 26374 39561 52748 65935 79122 105496 131870 158244 197805 263740 316488 395610 527480 791220 1582440 1991237 3982474 5973711 7964948 9956185 11947422 15929896 19912370 23894844 29868555 39824740 47789688 59737110 79649480 119474220 238948440