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115280334 = 23413194367
BaseRepresentation
bin1101101111100…
…00100111001110
322000220211220000
412313300213032
5214002432314
615234505130
72566603161
oct667604716
9260824800
10115280334
115a088904
12327351a6
131ab63920
141144bad8
15a1c2209
hex6df09ce

115280334 has 160 divisors (see below), whose sum is σ = 304106880. Its totient is φ = 32332608.

The previous prime is 115280327. The next prime is 115280369. The reversal of 115280334 is 433082511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 115280298 and 115280307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1720569 + ... + 1720635.

It is an arithmetic number, because the mean of its divisors is an integer number (1900668).

Almost surely, 2115280334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115280334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152053440).

115280334 is an abundant number, since it is smaller than the sum of its proper divisors (188826546).

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

115280334 is a wasteful number, since it uses less digits than its factorization.

115280334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 115280334 is about 10736.8679790710. The cubic root of 115280334 is about 486.6892369800.

The spelling of 115280334 in words is "one hundred fifteen million, two hundred eighty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 43 54 57 67 78 81 86 114 117 129 134 162 171 201 234 247 258 342 351 387 402 494 513 559 603 702 741 774 817 871 1026 1053 1118 1161 1206 1273 1482 1539 1634 1677 1742 1809 2106 2223 2322 2451 2546 2613 2881 3078 3354 3483 3618 3819 4446 4902 5031 5226 5427 5762 6669 6966 7353 7638 7839 8643 10062 10621 10854 11457 13338 14706 15093 15678 16549 17286 20007 21242 22059 22914 23517 25929 30186 31863 33098 34371 37453 40014 44118 45279 47034 49647 51858 54739 63726 66177 68742 70551 74906 77787 90558 95589 99294 103113 109478 112359 132354 141102 148941 155574 164217 191178 206226 224718 233361 286767 297882 328434 337077 446823 466722 492651 573534 674154 711607 860301 893646 985302 1011231 1340469 1423214 1477953 1720602 2022462 2134821 2680938 2955906 3033693 4269642 4433859 6067386 6404463 8867718 12808926 19213389 38426778 57640167 115280334