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820970634 = 231141303389
BaseRepresentation
bin110000111011110…
…000010010001010
32010012210121222210
4300323300102022
53140132030014
6213244125550
726226064251
oct6073602212
92105717883
10820970634
11391464430
121aab368b6
13101116053
147b067798
154c11a859
hex30ef048a

820970634 has 32 divisors (see below), whose sum is σ = 1834902720. Its totient is φ = 242710400.

The previous prime is 820970627. The next prime is 820970653. The reversal of 820970634 is 436079028.

It is a junction number, because it is equal to n+sod(n) for n = 820970592 and 820970601.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 148989 + ... + 154400.

It is an arithmetic number, because the mean of its divisors is an integer number (57340710).

Almost surely, 2820970634 is an apocalyptic number.

820970634 is an abundant number, since it is smaller than the sum of its proper divisors (1013932086).

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

820970634 is a wasteful number, since it uses less digits than its factorization.

820970634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303446.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 820970634 is about 28652.5851189731. The cubic root of 820970634 is about 936.3593272106.

The spelling of 820970634 in words is "eight hundred twenty million, nine hundred seventy thousand, six hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 303389 606778 910167 1820334 3337279 6674558 10011837 12438949 20023674 24877898 37316847 74633694 136828439 273656878 410485317 820970634