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312332020 = 2257111315601
BaseRepresentation
bin10010100111011…
…100111011110100
3210202201002222121
4102213130323310
51114424111040
650554205324
710511530660
oct2247347364
9722632877
10312332020
11150337740
1288723844
134c927c60
142d6a38a0
151c647c4a
hex129dcef4

312332020 has 96 divisors (see below), whose sum is σ = 880701696. Its totient is φ = 89856000.

The previous prime is 312332003. The next prime is 312332023. The reversal of 312332020 is 20233213.

It is a junction number, because it is equal to n+sod(n) for n = 312331985 and 312332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312332023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12220 + ... + 27820.

It is an arithmetic number, because the mean of its divisors is an integer number (9173976).

Almost surely, 2312332020 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 312332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440350848).

312332020 is an abundant number, since it is smaller than the sum of its proper divisors (568369676).

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

312332020 is a wasteful number, since it uses less digits than its factorization.

312332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15641 (or 15639 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 312332020 is about 17672.9176991237. The cubic root of 312332020 is about 678.4827909233.

Adding to 312332020 its reverse (20233213), we get a palindrome (332565233).

The spelling of 312332020 in words is "three hundred twelve million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 15601 20020 31202 62404 78005 109207 156010 171611 202813 218414 312020 343222 405626 436828 546035 686444 811252 858055 1014065 1092070 1201277 1419691 1716110 2028130 2184140 2230943 2402554 2839382 3432220 4056260 4461886 4805108 5678764 6006385 7098455 8923772 11154715 12012770 14196910 15616601 22309430 24025540 28393820 31233202 44618860 62466404 78083005 156166010 312332020