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380826732 = 2231113239649
BaseRepresentation
bin10110101100101…
…111010001101100
3222112121000001210
4112230233101230
51234442423412
6101442234420
712302655006
oct2654572154
9875530053
10380826732
11185a6a840
12a7655a10
1360b8a580
1438813376
152367783c
hex16b2f46c

380826732 has 96 divisors (see below), whose sum is σ = 1089446400. Its totient is φ = 101882880.

The previous prime is 380826731. The next prime is 380826739. The reversal of 380826732 is 237628083.

It is a happy number.

380826732 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (380826731) 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, 34644 + ... + 44292.

It is an arithmetic number, because the mean of its divisors is an integer number (11348400).

Almost surely, 2380826732 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 380826732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544723200).

380826732 is an abundant number, since it is smaller than the sum of its proper divisors (708619668).

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

380826732 is a wasteful number, since it uses less digits than its factorization.

380826732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9703 (or 9701 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 380826732 is about 19514.7823969421. The cubic root of 380826732 is about 724.8405401185.

The spelling of 380826732 in words is "three hundred eighty million, eight hundred twenty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 253 276 286 299 429 506 572 598 759 858 897 1012 1196 1518 1716 1794 3036 3289 3588 6578 9649 9867 13156 19298 19734 28947 38596 39468 57894 106139 115788 125437 212278 221927 250874 318417 376311 424556 443854 501748 636834 665781 752622 887708 1273668 1331562 1379807 1505244 2441197 2663124 2759614 2885051 4139421 4882394 5519228 5770102 7323591 8278842 8655153 9764788 11540204 14647182 16557684 17310306 29294364 31735561 34620612 63471122 95206683 126942244 190413366 380826732