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31071312 = 24321271699
BaseRepresentation
bin111011010000…
…1110001010000
32011110120211100
41312201301100
530423240222
63025544400
7525046626
oct166416120
964416740
1031071312
11165a2378
12a4a5100
13658b7bc
1441ab516
152adb4ac
hex1da1c50

31071312 has 60 divisors (see below), whose sum is σ = 87692800. Its totient is φ = 10269504.

The previous prime is 31071283. The next prime is 31071343. The reversal of 31071312 is 21317013.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17439 + ... + 19137.

Almost surely, 231071312 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 31071312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43846400).

31071312 is an abundant number, since it is smaller than the sum of its proper divisors (56621488).

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

31071312 is a wasteful number, since it uses less digits than its factorization.

31071312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 31071312 is about 5574.1646907855. The cubic root of 31071312 is about 314.3787604866.

Adding to 31071312 its reverse (21317013), we get a palindrome (52388325).

The spelling of 31071312 in words is "thirty-one million, seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 1699 2032 2286 3048 3398 4572 5097 6096 6796 9144 10194 13592 15291 18288 20388 27184 30582 40776 61164 81552 122328 215773 244656 431546 647319 863092 1294638 1726184 1941957 2589276 3452368 3883914 5178552 7767828 10357104 15535656 31071312