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380652720 = 24357317309
BaseRepresentation
bin10110101100000…
…100110010110000
3222112021011100220
4112230010302300
51234421341340
6101434413040
712301331460
oct2654046260
9875234326
10380652720
11185961028
12a7591180
1360b292c6
14387a9ba0
1523640ed0
hex16b04cb0

380652720 has 160 divisors (see below), whose sum is σ = 1392291840. Its totient is φ = 84188160.

The previous prime is 380652709. The next prime is 380652721. The reversal of 380652720 is 27256083.

It is not an unprimeable number, because it can be changed into a prime (380652721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48426 + ... + 55734.

It is an arithmetic number, because the mean of its divisors is an integer number (8701824).

Almost surely, 2380652720 is an apocalyptic number.

380652720 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 380652720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696145920).

380652720 is an abundant number, since it is smaller than the sum of its proper divisors (1011639120).

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

380652720 is a wasteful number, since it uses less digits than its factorization.

380652720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7363 (or 7357 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 380652720 is about 19510.3234212045. The cubic root of 380652720 is about 724.7301223025.

The spelling of 380652720 in words is "three hundred eighty million, six hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 3255 3472 3720 4340 5208 6510 7309 7440 8680 10416 13020 14618 17360 21927 26040 29236 36545 43854 51163 52080 58472 73090 87708 102326 109635 116944 146180 153489 175416 204652 219270 226579 255815 292360 306978 350832 409304 438540 453158 511630 584720 613956 679737 767445 818608 877080 906316 1023260 1132895 1227912 1359474 1534890 1586053 1754160 1812632 2046520 2265790 2455824 2718948 3069780 3172106 3398685 3625264 4093040 4531580 4758159 5437896 6139560 6344212 6797370 7930265 9063160 9516318 10875792 12279120 12688424 13594740 15860530 18126320 19032636 23790795 25376848 27189480 31721060 38065272 47581590 54378960 63442120 76130544 95163180 126884240 190326360 380652720