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310920058484 = 227224138916921
BaseRepresentation
bin1001000011001000100…
…01111001011001110100
31002201112112221110211122
410201210101321121310
520043231013332414
6354500143523112
731314613614500
oct4414421713164
91081475843748
10310920058484
1110a9512a3922
12503125b9498
1323420316689
1411097563300
15814b20bb8e
hex4864479674

310920058484 has 72 divisors (see below), whose sum is σ = 637242245640. Its totient is φ = 132349593600.

The previous prime is 310920058481. The next prime is 310920058489. The reversal of 310920058484 is 484850029013.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 70957238884 + 239962819600 = 266378^2 + 489860^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310920058481) 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 23 ways as a sum of consecutive naturals, for example, 18366344 + ... + 18383264.

It is an arithmetic number, because the mean of its divisors is an integer number (8850586745).

Almost surely, 2310920058484 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 310920058484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318621122820).

310920058484 is an abundant number, since it is smaller than the sum of its proper divisors (326322187156).

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

310920058484 is a wasteful number, since it uses less digits than its factorization.

310920058484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17569 (or 17560 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 310920058484 in words is "three hundred ten billion, nine hundred twenty million, fifty-eight thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 241 389 482 778 964 1556 1687 2723 3374 5446 6748 10892 11809 16921 19061 23618 33842 38122 47236 67684 76244 93749 118447 187498 236894 374996 473788 656243 829129 1312486 1658258 2624972 3316516 4077961 4593701 6582269 8155922 9187402 13164538 16311844 18374804 26329076 28545727 46075883 57091454 92151766 114182908 184303532 199820089 322531181 399640178 645062362 799280356 1290124724 1586326829 3172653658 6345307316 11104287803 22208575606 44417151212 77730014621 155460029242 310920058484