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3701992336 = 2472412532
BaseRepresentation
bin1101110010100111…
…1110101110010000
3100112222221200210021
43130221332232100
530040202223321
61411202313224
7160511262400
oct33451765620
910488850707
103701992336
11162a7506a9
12873958814
1346cc70713
1427193c800
1516a00b941
hexdca7eb90

3701992336 has 135 divisors (see below), whose sum is σ = 8716520883. Its totient is φ = 1518666240.

The previous prime is 3701992309. The next prime is 3701992367. The reversal of 3701992336 is 6332991073.

The square root of 3701992336 is 60844.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 400800400 + 3301191936 = 20020^2 + 57456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3701992292 and 3701992301.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69848886 + ... + 69848938.

Almost surely, 23701992336 is an apocalyptic number.

3701992336 is the 60844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3701992336

3701992336 is an abundant number, since it is smaller than the sum of its proper divisors (5014528547).

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

3701992336 is an equidigital number, since it uses as much as digits as its factorization.

3701992336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 43.

The cubic root of 3701992336 is about 1546.9579372005.

The spelling of 3701992336 in words is "three billion, seven hundred one million, nine hundred ninety-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 41 49 53 56 82 98 106 112 164 196 212 287 328 371 392 424 574 656 742 784 848 1148 1484 1681 2009 2173 2296 2597 2809 2968 3362 4018 4346 4592 5194 5618 5936 6724 8036 8692 10388 11236 11767 13448 15211 16072 17384 19663 20776 22472 23534 26896 30422 32144 34768 39326 41552 44944 47068 60844 78652 82369 89093 94136 106477 115169 121688 137641 157304 164738 178186 188272 212954 230338 243376 275282 314608 329476 356372 425908 460676 550564 623651 658952 712744 806183 851816 921352 1101128 1247302 1317904 1425488 1612366 1703632 1842704 2202256 2494604 3224732 4365557 4721929 4989208 5643281 6449464 8731114 9443858 9978416 11286562 12898928 17462228 18887716 22573124 33053503 34924456 37775432 45146248 66107006 69848912 75550864 90292496 132214012 231374521 264428024 462749042 528856048 925498084 1850996168 3701992336