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31434156 = 22341317439
BaseRepresentation
bin111011111101…
…0010110101100
32012011000120000
41313322112230
531021343111
63041424300
7531120525
oct167722654
965130500
1031434156
111681aa46
12a63b090
1366879c0
14426384c
152b5dc56
hex1dfa5ac

31434156 has 120 divisors (see below), whose sum is σ = 93915360. Its totient is φ = 9082368.

The previous prime is 31434149. The next prime is 31434163. The reversal of 31434156 is 65143413.

31434156 is a `hidden beast` number, since 314 + 341 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (31434149) and next prime (31434163).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71385 + ... + 71823.

It is an arithmetic number, because the mean of its divisors is an integer number (782628).

Almost surely, 231434156 is an apocalyptic number.

31434156 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 31434156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46957680).

31434156 is an abundant number, since it is smaller than the sum of its proper divisors (62481204).

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

31434156 is a wasteful number, since it uses less digits than its factorization.

31434156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 31434156 is about 5606.6171618900. The cubic root of 31434156 is about 315.5977764449.

Adding to 31434156 its reverse (65143413), we get a palindrome (96577569).

The spelling of 31434156 in words is "thirty-one million, four hundred thirty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 306 324 351 439 442 459 468 612 663 702 878 884 918 1053 1317 1326 1377 1404 1756 1836 1989 2106 2634 2652 2754 3951 3978 4212 5268 5508 5707 5967 7463 7902 7956 11414 11853 11934 14926 15804 17121 17901 22389 22828 23706 23868 29852 34242 35559 35802 44778 47412 51363 67167 68484 71118 71604 89556 97019 102726 134334 142236 154089 194038 201501 205452 268668 291057 308178 388076 403002 462267 582114 604503 616356 806004 873171 924534 1164228 1209006 1746342 1849068 2418012 2619513 3492684 5239026 7858539 10478052 15717078 31434156