Search a number
-
+
380974356 = 2232771107199
BaseRepresentation
bin10110101101010…
…011010100010100
3222112212111120100
4112231103110110
51240012134411
6101445334100
712304141260
oct2655232424
9875774510
10380974356
11186060744
12a7707330
1360c0c819
14388510a0
15236a6456
hex16b53514

380974356 has 144 divisors (see below), whose sum is σ = 1132185600. Its totient is φ = 105779520.

The previous prime is 380974351. The next prime is 380974357. The reversal of 380974356 is 653479083.

It is a super-2 number, since 2×3809743562 = 290282919859229472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380974351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1914345 + ... + 1914543.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2380974356 is an apocalyptic number.

380974356 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 380974356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566092800).

380974356 is an abundant number, since it is smaller than the sum of its proper divisors (751211244).

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

380974356 is a wasteful number, since it uses less digits than its factorization.

380974356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 380974356 is about 19518.5643939302. The cubic root of 380974356 is about 724.9341872879.

The spelling of 380974356 in words is "three hundred eighty million, nine hundred seventy-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 107 126 142 199 213 214 252 284 321 398 426 428 497 597 639 642 749 796 852 963 994 1194 1278 1284 1393 1491 1498 1791 1926 1988 2247 2388 2556 2786 2982 2996 3582 3852 4179 4473 4494 5572 5964 6741 7164 7597 8358 8946 8988 12537 13482 14129 15194 16716 17892 21293 22791 25074 26964 28258 30388 42387 42586 45582 50148 53179 56516 63879 68373 84774 85172 91164 98903 106358 127161 127758 136746 149051 159537 169548 191637 197806 212716 254322 255516 273492 296709 298102 319074 383274 395612 447153 478611 508644 593418 596204 638148 766548 890127 894306 957222 1186836 1341459 1511803 1780254 1788612 1914444 2682918 3023606 3560508 4535409 5365836 6047212 9070818 10582621 13606227 18141636 21165242 27212454 31747863 42330484 54424908 63495726 95243589 126991452 190487178 380974356