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31413330 = 23251326849
BaseRepresentation
bin111011111010…
…1010001010010
32012002221222200
41313311101102
531020211310
63041144030
7531003024
oct167652122
965087880
1031413330
1116806333
12a62b016
13667b390
14425a014
152b579c0
hex1df5452

31413330 has 48 divisors (see below), whose sum is σ = 87960600. Its totient is φ = 7732224.

The previous prime is 31413329. The next prime is 31413337. The reversal of 31413330 is 3331413.

It can be written as a sum of positive squares in 4 ways, for example, as 15992001 + 15421329 = 3999^2 + 3927^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31413337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12255 + ... + 14594.

Almost surely, 231413330 is an apocalyptic number.

31413330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31413330 is an abundant number, since it is smaller than the sum of its proper divisors (56547270).

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

31413330 is a wasteful number, since it uses less digits than its factorization.

31413330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26875 (or 26872 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 31413330 is about 5604.7595844960. The cubic root of 31413330 is about 315.5280636210.

Adding to 31413330 its reverse (3331413), we get a palindrome (34744743).

The spelling of 31413330 in words is "thirty-one million, four hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 26849 53698 80547 134245 161094 241641 268490 349037 402735 483282 698074 805470 1047111 1208205 1745185 2094222 2416410 3141333 3490370 5235555 6282666 10471110 15706665 31413330