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379866708 = 2232132292153
BaseRepresentation
bin10110101001000…
…100111001010100
3222110210020011100
4112221010321110
51234221213313
6101405510100
712261546054
oct2651047124
9873706140
10379866708
11185474531
12a7272330
1360912600
1438643564
1523538173
hex16a44e54

379866708 has 108 divisors (see below), whose sum is σ = 1076116860. Its totient is φ = 112799232.

The previous prime is 379866701. The next prime is 379866713. The reversal of 379866708 is 807668973.

It can be written as a sum of positive squares in 6 ways, for example, as 133125444 + 246741264 = 11538^2 + 15708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379866701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175360 + ... + 177512.

It is an arithmetic number, because the mean of its divisors is an integer number (9964045).

Almost surely, 2379866708 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 379866708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538058430).

379866708 is an abundant number, since it is smaller than the sum of its proper divisors (696250152).

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

379866708 is a wasteful number, since it uses less digits than its factorization.

379866708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 379866708 is about 19490.1695220950. The cubic root of 379866708 is about 724.2309454219.

The spelling of 379866708 in words is "three hundred seventy-nine million, eight hundred sixty-six thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 169 174 234 261 338 348 377 468 507 522 676 754 1014 1044 1131 1508 1521 2028 2153 2262 3042 3393 4306 4524 4901 6084 6459 6786 8612 9802 12918 13572 14703 19377 19604 25836 27989 29406 38754 44109 55978 58812 62437 77508 83967 88218 111956 124874 167934 176436 187311 249748 251901 335868 363857 374622 503802 561933 727714 749244 811681 1007604 1091571 1123866 1455428 1623362 2183142 2247732 2435043 3246724 3274713 4366284 4870086 6549426 7305129 9740172 10551853 13098852 14610258 21103706 29220516 31655559 42207412 63311118 94966677 126622236 189933354 379866708