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376383072 = 253131911579
BaseRepresentation
bin10110011011110…
…010011001100000
3222020020020111210
4112123302121200
51232323224242
6101203110120
712220126512
oct2633623140
9866206453
10376383072
1118350519a
12a6072340
135cc92aa0
1437db7bb2
152309ad9c
hex166f2660

376383072 has 96 divisors (see below), whose sum is σ = 1070254080. Its totient is φ = 115130880.

The previous prime is 376383071. The next prime is 376383101. The reversal of 376383072 is 270383673.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 376383072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376383071) 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, 237579 + ... + 239157.

It is an arithmetic number, because the mean of its divisors is an integer number (11148480).

Almost surely, 2376383072 is an apocalyptic number.

376383072 is a gapful number since it is divisible by the number (32) 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 376383072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535127040).

376383072 is an abundant number, since it is smaller than the sum of its proper divisors (693871008).

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

376383072 is a wasteful number, since it uses less digits than its factorization.

376383072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 376383072 is about 19400.5946300622. The cubic root of 376383072 is about 722.0102463485.

The spelling of 376383072 in words is "three hundred seventy-six million, three hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 191 208 312 382 416 573 624 764 1146 1248 1528 1579 2292 2483 3056 3158 4584 4737 4966 6112 6316 7449 9168 9474 9932 12632 14898 18336 18948 19864 20527 25264 29796 37896 39728 41054 50528 59592 61581 75792 79456 82108 119184 123162 151584 164216 238368 246324 301589 328432 492648 603178 656864 904767 985296 1206356 1809534 1970592 2412712 3619068 3920657 4825424 7238136 7841314 9650848 11761971 14476272 15682628 23523942 28952544 31365256 47047884 62730512 94095768 125461024 188191536 376383072