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3794342130 = 234541611873
BaseRepresentation
bin1110001000101001…
…0001000011110010
3100210102201112220000
43202022101003302
530232322422010
61424301530430
7163012242645
oct34212210362
910712645800
103794342130
111677897447
1289a873a16
13486136077
1427dcdba5c
1517319e7c0
hexe22910f2

3794342130 has 160 divisors (see below), whose sum is σ = 10628413488. Its totient is φ = 970444800.

The previous prime is 3794342129. The next prime is 3794342143. The reversal of 3794342130 is 312434973.

3794342130 is a `hidden beast` number, since 3 + 7 + 9 + 434 + 213 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 122345721 + 3671996409 = 11061^2 + 60597^2 .

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 79 ways as a sum of consecutive naturals, for example, 2024874 + ... + 2026746.

Almost surely, 23794342130 is an apocalyptic number.

3794342130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3794342130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314206744).

3794342130 is an abundant number, since it is smaller than the sum of its proper divisors (6834071358).

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

3794342130 is a wasteful number, since it uses less digits than its factorization.

3794342130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3794342130 is about 61598.2315492904. The cubic root of 3794342130 is about 1559.7158876088.

The spelling of 3794342130 in words is "three billion, seven hundred ninety-four million, three hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 61 81 82 90 122 123 135 162 183 205 246 270 305 366 369 405 410 549 610 615 738 810 915 1098 1107 1230 1647 1830 1845 1873 2214 2501 2745 3294 3321 3690 3746 4941 5002 5490 5535 5619 6642 7503 8235 9365 9882 11070 11238 12505 15006 16470 16605 16857 18730 22509 24705 25010 28095 33210 33714 37515 45018 49410 50571 56190 67527 75030 76793 84285 101142 112545 114253 135054 151713 153586 168570 202581 225090 228506 230379 252855 303426 337635 342759 383965 405162 460758 505710 571265 675270 685518 691137 758565 767930 1012905 1028277 1142530 1151895 1382274 1517130 1713795 2025810 2056554 2073411 2303790 3084831 3427590 3455685 4146822 4684373 5141385 6169662 6220233 6911370 9254493 9368746 10282770 10367055 12440466 14053119 15424155 18508986 20734110 23421865 28106238 30848310 31101165 42159357 46272465 46843730 62202330 70265595 84318714 92544930 126478071 140531190 210796785 252956142 379434213 421593570 632390355 758868426 1264780710 1897171065 3794342130