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378232320 = 2935172897
BaseRepresentation
bin10110100010110…
…101111000000000
3222100201012012110
4112202311320000
51233311413240
6101310455320
712241631064
oct2642657000
9870635173
10378232320
111845585a4
12a6804540
136048c70b
1438339aa4
1523313c80
hex168b5e00

378232320 has 160 divisors (see below), whose sum is σ = 1280730528. Its totient is φ = 94896128.

The previous prime is 378232319. The next prime is 378232331. The reversal of 378232320 is 23232873.

378232320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 129112 + ... + 132008.

Almost surely, 2378232320 is an apocalyptic number.

378232320 is a gapful number since it is divisible by the number (30) 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 378232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640365264).

378232320 is an abundant number, since it is smaller than the sum of its proper divisors (902498208).

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

378232320 is a wasteful number, since it uses less digits than its factorization.

378232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 378232320 is about 19448.1958032101. The cubic root of 378232320 is about 723.1907770249.

The spelling of 378232320 in words is "three hundred seventy-eight million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1536 1632 1920 2040 2176 2560 2720 2897 3264 3840 4080 4352 5440 5794 6528 7680 8160 8691 8704 10880 11588 13056 14485 16320 17382 21760 23176 26112 28970 32640 34764 43455 43520 46352 49249 57940 65280 69528 86910 92704 98498 115880 130560 139056 147747 173820 185408 196996 231760 246245 278112 295494 347640 370816 393992 463520 492490 556224 590988 695280 738735 741632 787984 927040 984980 1112448 1181976 1390560 1477470 1483264 1575968 1854080 1969960 2224896 2363952 2781120 2954940 3151936 3708160 3939920 4449792 4727904 5562240 5909880 6303872 7416320 7879840 9455808 11124480 11819760 12607744 15759680 18911616 22248960 23639520 25215488 31519360 37823232 47279040 63038720 75646464 94558080 126077440 189116160 378232320