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30799104 = 283717337
BaseRepresentation
bin111010101111…
…1010100000000
32010221202102120
41311133110000
530341032404
63020044240
7522534210
oct165372400
963852376
1030799104
1116426906
12a393680
1364c492b
14413a240
152a859d9
hex1d5f500

30799104 has 144 divisors (see below), whose sum is σ = 99485568. Its totient is φ = 8257536.

The previous prime is 30799103. The next prime is 30799157. The reversal of 30799104 is 40199703.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30799103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91224 + ... + 91560.

It is an arithmetic number, because the mean of its divisors is an integer number (690872).

Almost surely, 230799104 is an apocalyptic number.

30799104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30799104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49742784).

30799104 is an abundant number, since it is smaller than the sum of its proper divisors (68686464).

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

30799104 is a wasteful number, since it uses less digits than its factorization.

30799104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 30799104 is about 5549.6940456209. The cubic root of 30799104 is about 313.4580017964.

It can be divided in two parts, 30799 and 104, that added together give a palindrome (30903).

The spelling of 30799104 in words is "thirty million, seven hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 337 357 384 408 448 476 544 672 674 714 768 816 896 952 1011 1088 1344 1348 1428 1632 1792 1904 2022 2176 2359 2688 2696 2856 3264 3808 4044 4352 4718 5376 5392 5712 5729 6528 7077 7616 8088 9436 10784 11424 11458 13056 14154 15232 16176 17187 18872 21568 22848 22916 28308 30464 32352 34374 37744 40103 43136 45696 45832 56616 64704 68748 75488 80206 86272 91392 91664 113232 120309 129408 137496 150976 160412 183328 226464 240618 258816 274992 301952 320824 366656 452928 481236 549984 603904 641648 733312 905856 962472 1099968 1283296 1466624 1811712 1924944 2199936 2566592 3849888 4399872 5133184 7699776 10266368 15399552 30799104