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379687280 = 24573101137
BaseRepresentation
bin10110101000011…
…001000101110000
3222110110010000212
4112220121011300
51234144443110
6101402003252
712260201000
oct2650310560
9873403025
10379687280
11185361745
12a71a6528
136087ba3b
14385d8000
15234eee05
hex16a19170

379687280 has 160 divisors (see below), whose sum is σ = 1047254400. Its totient is φ = 127948800.

The previous prime is 379687277. The next prime is 379687307. The reversal of 379687280 is 82786973.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2771372 + ... + 2771508.

It is an arithmetic number, because the mean of its divisors is an integer number (6545340).

Almost surely, 2379687280 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 379687280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523627200).

379687280 is an abundant number, since it is smaller than the sum of its proper divisors (667567120).

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

379687280 is a wasteful number, since it uses less digits than its factorization.

379687280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The square root of 379687280 is about 19485.5659399464. The cubic root of 379687280 is about 724.1168985973.

The spelling of 379687280 in words is "three hundred seventy-nine million, six hundred eighty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 101 112 137 140 196 202 245 274 280 343 392 404 490 505 548 560 685 686 707 784 808 959 980 1010 1096 1370 1372 1414 1616 1715 1918 1960 2020 2192 2740 2744 2828 3430 3535 3836 3920 4040 4795 4949 5480 5488 5656 6713 6860 7070 7672 8080 9590 9898 10960 11312 13426 13720 13837 14140 15344 19180 19796 24745 26852 27440 27674 28280 33565 34643 38360 39592 46991 49490 53704 55348 56560 67130 69185 69286 76720 79184 93982 96859 98980 107408 110696 134260 138370 138572 173215 187964 193718 197960 221392 234955 268520 276740 277144 346430 375928 387436 395920 469910 484295 537040 553480 554288 678013 692860 751856 774872 939820 968590 1106960 1356026 1385720 1549744 1879640 1937180 2712052 2771440 3390065 3759280 3874360 4746091 5424104 6780130 7748720 9492182 10848208 13560260 18984364 23730455 27120520 37968728 47460910 54241040 75937456 94921820 189843640 379687280