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31134208 = 29721773
BaseRepresentation
bin111011011000…
…1001000000000
32011120210002211
41312301020000
530432243313
63031151504
7525431200
oct166611000
964523084
1031134208
1116635656
12a515594
1365b1311
1441c6400
152aeee3d
hex1db1200

31134208 has 120 divisors (see below), whose sum is σ = 77670252. Its totient is φ = 12386304.

The previous prime is 31134143. The next prime is 31134221. The reversal of 31134208 is 80243113.

It can be written as a sum of positive squares in 2 ways, for example, as 30118144 + 1016064 = 5488^2 + 1008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426460 + ... + 426532.

Almost surely, 231134208 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 31134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38835126).

31134208 is an abundant number, since it is smaller than the sum of its proper divisors (46536044).

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

31134208 is an equidigital number, since it uses as much as digits as its factorization.

31134208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 31134208 is about 5579.8035807724. The cubic root of 31134208 is about 314.5907442353.

The spelling of 31134208 in words is "thirty-one million, one hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 73 98 112 119 128 136 146 196 224 238 256 272 292 392 448 476 511 512 544 584 784 833 896 952 1022 1088 1168 1241 1568 1666 1792 1904 2044 2176 2336 2482 3136 3332 3577 3584 3808 4088 4352 4672 4964 6272 6664 7154 7616 8176 8687 8704 9344 9928 12544 13328 14308 15232 16352 17374 18688 19856 25088 26656 28616 30464 32704 34748 37376 39712 53312 57232 60809 60928 65408 69496 79424 106624 114464 121618 130816 138992 158848 213248 228928 243236 261632 277984 317696 426496 457856 486472 555968 635392 915712 972944 1111936 1831424 1945888 2223872 3891776 4447744 7783552 15567104 31134208