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380647350 = 23752592
BaseRepresentation
bin10110101100000…
…011011110110110
3222112020220000000
4112230003132312
51234421203400
6101434332130
712301310016
oct2654033666
9875226000
10380647350
11185957a96
12a758a046
1360b26a25
14387a7c46
152363e600
hex16b037b6

380647350 has 144 divisors (see below), whose sum is σ = 1080146640. Its totient is φ = 99785520.

The previous prime is 380647343. The next prime is 380647361. The reversal of 380647350 is 53746083.

It is a happy number.

380647350 is a `hidden beast` number, since 3 + 8 + 0 + 647 + 3 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6451621 + ... + 6451679.

Almost surely, 2380647350 is an apocalyptic number.

380647350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380647350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540073320).

380647350 is an abundant number, since it is smaller than the sum of its proper divisors (699499290).

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

380647350 is an frugal number, since it uses more digits than its factorization.

380647350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 380647350 is about 19510.1858012680. The cubic root of 380647350 is about 724.7267142800.

The spelling of 380647350 in words is "three hundred eighty million, six hundred forty-seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 59 75 81 90 118 135 150 162 177 225 243 270 295 354 405 450 486 531 590 675 729 810 885 1062 1215 1350 1458 1475 1593 1770 2025 2187 2430 2655 2950 3186 3481 3645 4050 4374 4425 4779 5310 6075 6962 7290 7965 8850 9558 10443 10935 12150 13275 14337 15930 17405 18225 20886 21870 23895 26550 28674 31329 34810 36450 39825 43011 47790 52215 54675 62658 71685 79650 86022 87025 93987 104430 109350 119475 129033 143370 156645 174050 187974 215055 238950 258066 261075 281961 313290 358425 430110 469935 522150 563922 645165 716850 783225 845883 939870 1075275 1290330 1409805 1566450 1691766 2150550 2349675 2537649 2819610 3225825 4229415 4699350 5075298 6451650 7049025 7612947 8458830 12688245 14098050 15225894 21147075 25376490 38064735 42294150 63441225 76129470 126882450 190323675 380647350