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31463640 = 233651383
BaseRepresentation
bin111100000000…
…1100011011000
32012012112000000
41320001203120
531023314030
63042213000
7531302505
oct170014330
965175000
1031463640
111684010a
12a654160
136698250
1442704ac
152b67860
hex1e018d8

31463640 has 224 divisors, whose sum is σ = 115683120. Its totient is φ = 7651584.

The previous prime is 31463591. The next prime is 31463681. The reversal of 31463640 is 4636413.

31463640 is a `hidden beast` number, since 3 + 14 + 6 + 3 + 640 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 379039 + ... + 379121.

Almost surely, 231463640 is an apocalyptic number.

31463640 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 31463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57841560).

31463640 is an abundant number, since it is smaller than the sum of its proper divisors (84219480).

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

31463640 is a wasteful number, since it uses less digits than its factorization.

31463640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 31463640 is about 5609.2459386267. The cubic root of 31463640 is about 315.6964183711.

It can be divided in two parts, 3146 and 3640, that added together give a triangular number (6786 = T116).

The spelling of 31463640 in words is "thirty-one million, four hundred sixty-three thousand, six hundred forty".