Search a number
-
+
379237896 = 233353157211
BaseRepresentation
bin10110100110101…
…011011000001000
3222102121021121000
4112212223120020
51234041103041
6101344215000
712253316562
oct2646533010
9872537530
10379237896
11185085054
12a700a460
136075232b
143851c332
1523461bb6
hex169ab608

379237896 has 128 divisors (see below), whose sum is σ = 1085270400. Its totient is φ = 122653440.

The previous prime is 379237883. The next prime is 379237913. The reversal of 379237896 is 698732973.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1797231 + ... + 1797441.

It is an arithmetic number, because the mean of its divisors is an integer number (8478675).

Almost surely, 2379237896 is an apocalyptic number.

379237896 is a gapful number since it is divisible by the number (36) 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 379237896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542635200).

379237896 is an abundant number, since it is smaller than the sum of its proper divisors (706032504).

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

379237896 is a wasteful number, since it uses less digits than its factorization.

379237896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 379237896 is about 19474.0313237912. The cubic root of 379237896 is about 723.8311063767.

The spelling of 379237896 in words is "three hundred seventy-nine million, two hundred thirty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 157 159 211 212 216 314 318 422 424 471 477 628 633 636 844 942 954 1256 1266 1272 1413 1431 1688 1884 1899 1908 2532 2826 2862 3768 3798 3816 4239 5064 5652 5697 5724 7596 8321 8478 11183 11304 11394 11448 15192 16642 16956 22366 22788 24963 33127 33284 33549 33912 44732 45576 49926 66254 66568 67098 74889 89464 99381 99852 100647 132508 134196 149778 198762 199704 201294 224667 265016 268392 298143 299556 301941 397524 402588 449334 596286 599112 603882 795048 805176 894429 898668 1192572 1207764 1755731 1788858 1797336 2385144 2415528 3511462 3577716 5267193 7022924 7155432 10534386 14045848 15801579 21068772 31603158 42137544 47404737 63206316 94809474 126412632 189618948 379237896