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31134240 = 253357207
BaseRepresentation
bin111011011000…
…1001000100000
32011120210011000
41312301020200
530432243430
63031152000
7525431244
oct166611040
964523130
1031134240
1116635685
12a515600
1365b1337
1441c6424
152aeee60
hex1db1220

31134240 has 96 divisors (see below), whose sum is σ = 108984960. Its totient is φ = 8301312.

The previous prime is 31134239. The next prime is 31134251. The reversal of 31134240 is 4243113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717 + ... + 7923.

It is an arithmetic number, because the mean of its divisors is an integer number (1135260).

Almost surely, 231134240 is an apocalyptic number.

31134240 is a gapful number since it is divisible by the number (30) 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 31134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54492480).

31134240 is an abundant number, since it is smaller than the sum of its proper divisors (77850720).

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

31134240 is a wasteful number, since it uses less digits than its factorization.

31134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7231 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31134240 is about 5579.8064482561. The cubic root of 31134240 is about 314.5908520149.

Adding to 31134240 its reverse (4243113), we get a palindrome (35377353).

The spelling of 31134240 in words is "thirty-one million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 7207 14414 21621 28828 36035 43242 57656 64863 72070 86484 108105 115312 129726 144140 172968 194589 216210 230624 259452 288280 324315 345936 389178 432420 518904 576560 648630 691872 778356 864840 972945 1037808 1153120 1297260 1556712 1729680 1945890 2075616 2594520 3113424 3459360 3891780 5189040 6226848 7783560 10378080 15567120 31134240