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114037344 = 25323153241
BaseRepresentation
bin1101100110000…
…01001001100000
321221120200211100
412303001021200
5213143143334
615152114400
72553205251
oct663011140
9257520740
10114037344
1159409a43
1232235a00
131a819c25
1411206b28
15a028c99
hex6cc1260

114037344 has 144 divisors (see below), whose sum is σ = 342486144. Its totient is φ = 35942400.

The previous prime is 114037337. The next prime is 114037351. The reversal of 114037344 is 443730411.

It is an interprime number because it is at equal distance from previous prime (114037337) and next prime (114037351).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 473064 + ... + 473304.

It is an arithmetic number, because the mean of its divisors is an integer number (2378376).

Almost surely, 2114037344 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 114037344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171243072).

114037344 is an abundant number, since it is smaller than the sum of its proper divisors (228448800).

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

114037344 is a wasteful number, since it uses less digits than its factorization.

114037344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 114037344 is about 10678.8269018652. The cubic root of 114037344 is about 484.9336983799.

Adding to 114037344 its reverse (443730411), we get a palindrome (557767755).

The spelling of 114037344 in words is "one hundred fourteen million, thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 53 62 72 93 96 106 124 144 159 186 212 241 248 279 288 318 372 424 477 482 496 558 636 723 744 848 954 964 992 1116 1272 1446 1488 1643 1696 1908 1928 2169 2232 2544 2892 2976 3286 3816 3856 4338 4464 4929 5088 5784 6572 7471 7632 7712 8676 8928 9858 11568 12773 13144 14787 14942 15264 17352 19716 22413 23136 25546 26288 29574 29884 34704 38319 39432 44826 51092 52576 59148 59768 67239 69408 76638 78864 89652 102184 114957 118296 119536 134478 153276 157728 179304 204368 229914 236592 239072 268956 306552 358608 395963 408736 459828 473184 537912 613104 717216 791926 919656 1075824 1187889 1226208 1583852 1839312 2151648 2375778 3167704 3563667 3678624 4751556 6335408 7127334 9503112 12670816 14254668 19006224 28509336 38012448 57018672 114037344