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794041344 = 21032292971
BaseRepresentation
bin101111010101000…
…001110000000000
32001100010110221200
4233111001300000
53111233310334
6210443021200
725451145225
oct5725016000
92040113850
10794041344
11378241018
121a1b0a800
13c8677965
147765794c
1549a9b799
hex2f541c00

794041344 has 132 divisors (see below), whose sum is σ = 2372636760. Its totient is φ = 255467520.

The previous prime is 794041337. The next prime is 794041361. The reversal of 794041344 is 443140497.

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

It is a junction number, because it is equal to n+sod(n) for n = 794041299 and 794041308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265779 + ... + 268749.

Almost surely, 2794041344 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 794041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186318380).

794041344 is an abundant number, since it is smaller than the sum of its proper divisors (1578595416).

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

794041344 is a wasteful number, since it uses less digits than its factorization.

794041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 794041344 is about 28178.7392194896. The cubic root of 794041344 is about 926.0072180272.

It can be divided in two parts, 7940 and 41344, that added together give a square (49284 = 2222).

The spelling of 794041344 in words is "seven hundred ninety-four million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2088 2304 2784 2971 3072 3712 4176 4608 5568 5942 7424 8352 8913 9216 11136 11884 14848 16704 17826 22272 23768 26739 29696 33408 35652 44544 47536 53478 66816 71304 86159 89088 95072 106956 133632 142608 172318 190144 213912 258477 267264 285216 344636 380288 427824 516954 570432 689272 760576 775431 855648 1033908 1140864 1378544 1521152 1550862 1711296 2067816 2281728 2757088 3042304 3101724 3422592 4135632 4563456 5514176 6203448 6845184 8271264 9126912 11028352 12406896 13690368 16542528 22056704 24813792 27380736 33085056 44113408 49627584 66170112 88226816 99255168 132340224 198510336 264680448 397020672 794041344