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31434088 = 2372175389
BaseRepresentation
bin111011111101…
…0010101101000
32012011000110111
41313322111220
531021342323
63041424104
7531120400
oct167722550
965130414
1031434088
111681a994
12a63b034
13668796a
144263800
152b5dc0d
hex1dfa568

31434088 has 96 divisors (see below), whose sum is σ = 74795400. Its totient is φ = 12300288.

The previous prime is 31434059. The next prime is 31434107. The reversal of 31434088 is 88043413.

It can be written as a sum of positive squares in 4 ways, for example, as 28751044 + 2683044 = 5362^2 + 1638^2 .

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, 353148 + ... + 353236.

Almost surely, 231434088 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 31434088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37397700).

31434088 is an abundant number, since it is smaller than the sum of its proper divisors (43361312).

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

31434088 is a wasteful number, since it uses less digits than its factorization.

31434088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 31434088 is about 5606.6110976239. The cubic root of 31434088 is about 315.5975488722.

The spelling of 31434088 in words is "thirty-one million, four hundred thirty-four thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 49 53 56 68 89 98 106 119 136 178 196 212 238 356 371 392 424 476 623 712 742 833 901 952 1246 1484 1513 1666 1802 2492 2597 2968 3026 3332 3604 4361 4717 4984 5194 6052 6307 6664 7208 8722 9434 10388 10591 12104 12614 17444 18868 20776 21182 25228 33019 34888 37736 42364 44149 50456 66038 74137 80189 84728 88298 132076 148274 160378 176596 231133 264152 296548 320756 353192 462266 561323 593096 641512 924532 1122646 1849064 2245292 3929261 4490584 7858522 15717044 31434088