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379081280 = 26537101317
BaseRepresentation
bin10110100110000…
…101001001000000
3222102022022202102
4112212011021000
51234021100110
6101341005532
712252065144
oct2646051100
9872268672
10379081280
11184a88416
12a6b538a8
13606c8c66
14384bb224
15234305a5
hex16985240

379081280 has 112 divisors (see below), whose sum is σ = 939216816. Its totient is φ = 145612800.

The previous prime is 379081279. The next prime is 379081289. The reversal of 379081280 is 82180973.

It can be written as a sum of positive squares in 8 ways, for example, as 11669056 + 367412224 = 3416^2 + 19168^2 .

It is not an unprimeable number, because it can be changed into a prime (379081289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195682 + ... + 1195998.

Almost surely, 2379081280 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 379081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469608408).

379081280 is an abundant number, since it is smaller than the sum of its proper divisors (560135536).

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

379081280 is a wasteful number, since it uses less digits than its factorization.

379081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 379081280 is about 19470.0097586005. The cubic root of 379081280 is about 723.7314511271.

The spelling of 379081280 in words is "three hundred seventy-nine million, eighty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 101 148 160 185 202 296 317 320 370 404 505 592 634 740 808 1010 1184 1268 1480 1585 1616 2020 2368 2536 2960 3170 3232 3737 4040 5072 5920 6340 6464 7474 8080 10144 11729 11840 12680 14948 16160 18685 20288 23458 25360 29896 32017 32320 37370 46916 50720 58645 59792 64034 74740 93832 101440 117290 119584 128068 149480 160085 187664 234580 239168 256136 298960 320170 375328 469160 512272 597920 640340 750656 938320 1024544 1184629 1195840 1280680 1876640 2049088 2369258 2561360 3753280 4738516 5122720 5923145 9477032 10245440 11846290 18954064 23692580 37908128 47385160 75816256 94770320 189540640 379081280