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378133720 = 235171075197
BaseRepresentation
bin10110100010011…
…101110011011000
3222100112011221121
4112202131303120
51233300234340
6101304415024
712241040446
oct2642356330
9870464847
10378133720
111844a0508
12a6777474
1360456883
1438311b96
15232e494a
hex1689dcd8

378133720 has 64 divisors (see below), whose sum is σ = 909442080. Its totient is φ = 140998656.

The previous prime is 378133711. The next prime is 378133751. The reversal of 378133720 is 27331873.

It is a super-2 number, since 2×3781337202 = 285970220402076800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 70162 + ... + 75358.

Almost surely, 2378133720 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 378133720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454721040).

378133720 is an abundant number, since it is smaller than the sum of its proper divisors (531308360).

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

378133720 is a wasteful number, since it uses less digits than its factorization.

378133720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 378133720 is about 19445.6606984695. The cubic root of 378133720 is about 723.1279295773.

The spelling of 378133720 in words is "three hundred seventy-eight million, one hundred thirty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 107 136 170 214 340 428 535 680 856 1070 1819 2140 3638 4280 5197 7276 9095 10394 14552 18190 20788 25985 36380 41576 51970 72760 88349 103940 176698 207880 353396 441745 556079 706792 883490 1112158 1766980 2224316 2780395 3533960 4448632 5560790 9453343 11121580 18906686 22243160 37813372 47266715 75626744 94533430 189066860 378133720