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379114512 = 24375361349
BaseRepresentation
bin10110100110001…
…101010000010000
3222102101000100020
4112212031100100
51234023131022
6101341423440
712252264060
oct2646152020
9872330306
10379114512
11185000387
12a6b6ab80
136070b11a
14384c93a0
152343a35c
hex1698d410

379114512 has 160 divisors (see below), whose sum is σ = 1162425600. Its totient is φ = 104232960.

The previous prime is 379114493. The next prime is 379114513. The reversal of 379114512 is 215411973.

It is not an unprimeable number, because it can be changed into a prime (379114513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086114 + ... + 1086462.

It is an arithmetic number, because the mean of its divisors is an integer number (7265160).

Almost surely, 2379114512 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 379114512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581212800).

379114512 is an abundant number, since it is smaller than the sum of its proper divisors (783311088).

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

379114512 is a wasteful number, since it uses less digits than its factorization.

379114512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 379114512 is about 19470.8631549811. The cubic root of 379114512 is about 723.7525990463.

The spelling of 379114512 in words is "three hundred seventy-nine million, one hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 61 84 106 112 122 159 168 183 212 244 318 336 349 366 371 424 427 488 636 698 732 742 848 854 976 1047 1113 1272 1281 1396 1464 1484 1708 2094 2226 2443 2544 2562 2792 2928 2968 3233 3416 4188 4452 4886 5124 5584 5936 6466 6832 7329 8376 8904 9699 9772 10248 12932 14658 16752 17808 18497 19398 19544 20496 21289 22631 25864 29316 36994 38796 39088 42578 45262 51728 55491 58632 63867 67893 73988 77592 85156 90524 110982 117264 127734 129479 135786 147976 149023 155184 170312 181048 221964 255468 258958 271572 295952 298046 340624 362096 388437 443928 447069 510936 517916 543144 596092 776874 887856 894138 1021872 1035832 1086288 1128317 1192184 1553748 1788276 2071664 2256634 2384368 3107496 3384951 3576552 4513268 6214992 6769902 7153104 7898219 9026536 13539804 15796438 18053072 23694657 27079608 31592876 47389314 54159216 63185752 94778628 126371504 189557256 379114512