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2083470336 = 210362791
BaseRepresentation
bin111110000101111…
…0011110000000000
312101012102021000000
41330023303300000
513231332022321
6542424000000
7102426130353
oct17413636000
95335367000
102083470336
1197a079112
124a1900000
132728511ac
1415a9c629a
15c2d9e826
hex7c2f3c00

2083470336 has 154 divisors (see below), whose sum is σ = 6246739832. Its totient is φ = 694241280.

The previous prime is 2083470329. The next prime is 2083470349. The reversal of 2083470336 is 6330743802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2083470336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 745101 + ... + 747891.

Almost surely, 22083470336 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 2083470336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123369916).

2083470336 is an abundant number, since it is smaller than the sum of its proper divisors (4163269496).

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

2083470336 is an frugal number, since it uses more digits than its factorization.

2083470336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2083470336 is about 45645.0472231106. The cubic root of 2083470336 is about 1277.2103830918.

The spelling of 2083470336 in words is "two billion, eighty-three million, four hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2304 2592 2791 2916 3072 3456 3888 4608 5184 5582 5832 6912 7776 8373 9216 10368 11164 11664 13824 15552 16746 20736 22328 23328 25119 27648 31104 33492 41472 44656 46656 50238 62208 66984 75357 82944 89312 93312 100476 124416 133968 150714 178624 186624 200952 226071 248832 267936 301428 357248 373248 401904 452142 535872 602856 678213 714496 746496 803808 904284 1071744 1205712 1356426 1428992 1607616 1808568 2034639 2143488 2411424 2712852 2857984 3215232 3617136 4069278 4286976 4822848 5425704 6430464 7234272 8138556 8573952 9645696 10851408 12860928 14468544 16277112 19291392 21702816 25721856 28937088 32554224 38582784 43405632 57874176 65108448 77165568 86811264 115748352 130216896 173622528 231496704 260433792 347245056 520867584 694490112 1041735168 2083470336