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31300608 = 210323443
BaseRepresentation
bin111011101100…
…1110000000000
32011220020100210
41313121300000
531003104413
63034514120
7530023263
oct167316000
964806323
1031300608
1116739679
12a595940
13663bc91
14422acda
152b343c3
hex1dd9c00

31300608 has 88 divisors (see below), whose sum is σ = 87251328. Its totient is φ = 9957376.

The previous prime is 31300583. The next prime is 31300609. The reversal of 31300608 is 80600313.

It is a super-2 number, since 2×313006082 = 1959456122339328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31300609) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 70435 + ... + 70877.

Almost surely, 231300608 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 31300608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43625664).

31300608 is an abundant number, since it is smaller than the sum of its proper divisors (55950720).

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

31300608 is a wasteful number, since it uses less digits than its factorization.

31300608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 31300608 is about 5594.6946297363. The cubic root of 31300608 is about 315.1502029950.

The spelling of 31300608 in words is "thirty-one million, three hundred thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 443 512 552 736 768 886 1024 1104 1329 1472 1536 1772 2208 2658 2944 3072 3544 4416 5316 5888 7088 8832 10189 10632 11776 14176 17664 20378 21264 23552 28352 30567 35328 40756 42528 56704 61134 70656 81512 85056 113408 122268 163024 170112 226816 244536 326048 340224 453632 489072 652096 680448 978144 1304192 1360896 1956288 2608384 3912576 5216768 7825152 10433536 15650304 31300608