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379456240 = 24597107457
BaseRepresentation
bin10110100111100…
…000101011110000
3222110000101002211
4112213200223300
51234120044430
6101353021504
712255216262
oct2647405360
9873011084
10379456240
111852140a9
12a70b4894
13607ca827
1438577b32
15234a672a
hex169e0af0

379456240 has 80 divisors (see below), whose sum is σ = 901629792. Its totient is φ = 148488192.

The previous prime is 379456229. The next prime is 379456241. The reversal of 379456240 is 42654973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 379456193 and 379456202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379456241) 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, 830092 + ... + 830548.

Almost surely, 2379456240 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 379456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450814896).

379456240 is an abundant number, since it is smaller than the sum of its proper divisors (522173552).

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

379456240 is a wasteful number, since it uses less digits than its factorization.

379456240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 379456240 is about 19479.6365469174. The cubic root of 379456240 is about 723.9699935673.

The spelling of 379456240 in words is "three hundred seventy-nine million, four hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 107 194 214 388 428 457 485 535 776 856 914 970 1070 1552 1712 1828 1940 2140 2285 3656 3880 4280 4570 7312 7760 8560 9140 10379 18280 20758 36560 41516 44329 48899 51895 83032 88658 97798 103790 166064 177316 195596 207580 221645 244495 354632 391192 415160 443290 488990 709264 782384 830320 886580 977980 1773160 1955960 3546320 3911920 4743203 9486406 18972812 23716015 37945624 47432030 75891248 94864060 189728120 379456240