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379957440 = 26351937563
BaseRepresentation
bin10110101001011…
…011000011000000
3222110221211121210
4112221123003000
51234232114230
6101411450120
712262404432
oct2651330300
9873854553
10379957440
11185526715
12a72b6940
13609449b5
1438668652
1523554eb0
hex16a5b0c0

379957440 has 224 divisors, whose sum is σ = 1306494720. Its totient is φ = 93229056.

The previous prime is 379957411. The next prime is 379957441. The reversal of 379957440 is 44759973.

It is a happy number.

It is a super-2 number, since 2×3799574402 = 288735312422707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 379957440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379957441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674599 + ... + 675161.

Almost surely, 2379957440 is an apocalyptic number.

379957440 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 379957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653247360).

379957440 is an abundant number, since it is smaller than the sum of its proper divisors (926537280).

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

379957440 is a wasteful number, since it uses less digits than its factorization.

379957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 379957440 is about 19492.4970180837. The cubic root of 379957440 is about 724.2886022172.

The spelling of 379957440 in words is "three hundred seventy-nine million, nine hundred fifty-seven thousand, four hundred forty".