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378833088 = 2633076427
BaseRepresentation
bin10110100101001…
…000100011000000
3222101211201022010
4112211020203000
51233440124323
6101331412520
712250012434
oct2645104300
9871751263
10378833088
111849289a7
12a6a54140
136063ccba
14384549c4
15233d1c93
hex169488c0

378833088 has 56 divisors (see below), whose sum is σ = 1005750592. Its totient is φ = 125846784.

The previous prime is 378833057. The next prime is 378833089. The reversal of 378833088 is 880338873.

It is a super-3 number, since 3×3788330883 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (378833089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55731 + ... + 62157.

It is an arithmetic number, because the mean of its divisors is an integer number (17959832).

Almost surely, 2378833088 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 378833088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502875296).

378833088 is an abundant number, since it is smaller than the sum of its proper divisors (626917504).

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

378833088 is a wasteful number, since it uses less digits than its factorization.

378833088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 378833088 is about 19463.6350150736. The cubic root of 378833088 is about 723.5734695532.

The spelling of 378833088 in words is "three hundred seventy-eight million, eight hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 307 614 921 1228 1842 2456 3684 4912 6427 7368 9824 12854 14736 19281 19648 25708 29472 38562 51416 58944 77124 102832 154248 205664 308496 411328 616992 1233984 1973089 3946178 5919267 7892356 11838534 15784712 23677068 31569424 47354136 63138848 94708272 126277696 189416544 378833088