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313040232 = 2332311391009
BaseRepresentation
bin10010101010001…
…001110101101000
3210211001002110200
4102222021311220
51120114241412
651021312200
710520540511
oct2252116550
9724032420
10313040232
1115078083a
1288a05660
134cb1540b
142d809a08
151c7379dc
hex12a89d68

313040232 has 96 divisors (see below), whose sum is σ = 882336000. Its totient is φ = 100154880.

The previous prime is 313040197. The next prime is 313040237. The reversal of 313040232 is 232040313.

It is a super-2 number, since 2×3130402322 = 195988373701227648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (313040237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309744 + ... + 310752.

It is an arithmetic number, because the mean of its divisors is an integer number (9191000).

Almost surely, 2313040232 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 313040232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441168000).

313040232 is an abundant number, since it is smaller than the sum of its proper divisors (569295768).

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

313040232 is a wasteful number, since it uses less digits than its factorization.

313040232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 313040232 is about 17692.9429999647. The cubic root of 313040232 is about 678.9952230955.

Adding to 313040232 its reverse (232040313), we get a palindrome (545080545).

It can be divided in two parts, 31304023 and 2, that added together give a square (31304025 = 55952).

The spelling of 313040232 in words is "three hundred thirteen million, forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 139 186 248 278 279 372 417 556 558 744 834 1009 1112 1116 1251 1668 2018 2232 2502 3027 3336 4036 4309 5004 6054 8072 8618 9081 10008 12108 12927 17236 18162 24216 25854 31279 34472 36324 38781 51708 62558 72648 77562 93837 103416 125116 140251 155124 187674 250232 280502 281511 310248 375348 420753 561004 563022 750696 841506 1122008 1126044 1262259 1683012 2252088 2524518 3366024 4347781 5049036 8695562 10098072 13043343 17391124 26086686 34782248 39130029 52173372 78260058 104346744 156520116 313040232