Search a number
-
+
379129440 = 25352832791
BaseRepresentation
bin10110100110010…
…000111001100000
3222102101202211010
4112212100321200
51234024120230
6101342020520
712252355434
oct2646207140
9872352733
10379129440
11185010618
12a6b77740
1360714b61
14384d09c4
152343e9b0
hex16990e60

379129440 has 96 divisors (see below), whose sum is σ = 1198907136. Its totient is φ = 100707840.

The previous prime is 379129433. The next prime is 379129451. The reversal of 379129440 is 44921973.

It is a tau number, because it is divible by the number of its divisors (96).

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, 134445 + ... + 137235.

It is an arithmetic number, because the mean of its divisors is an integer number (12488616).

Almost surely, 2379129440 is an apocalyptic number.

379129440 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 379129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599453568).

379129440 is an abundant number, since it is smaller than the sum of its proper divisors (819777696).

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

379129440 is a wasteful number, since it uses less digits than its factorization.

379129440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 379129440 is about 19471.2464932269. The cubic root of 379129440 is about 723.7620984074.

The spelling of 379129440 in words is "three hundred seventy-nine million, one hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 283 480 566 849 1132 1415 1698 2264 2791 2830 3396 4245 4528 5582 5660 6792 8373 8490 9056 11164 11320 13584 13955 16746 16980 22328 22640 27168 27910 33492 33960 41865 44656 45280 55820 66984 67920 83730 89312 111640 133968 135840 167460 223280 267936 334920 446560 669840 789853 1339680 1579706 2369559 3159412 3949265 4739118 6318824 7898530 9478236 11847795 12637648 15797060 18956472 23695590 25275296 31594120 37912944 47391180 63188240 75825888 94782360 126376480 189564720 379129440