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30793392 = 2433717599
BaseRepresentation
bin111010101110…
…1111010110000
32010221110121000
41311131322300
530340342032
63020002000
7522511440
oct165357260
963843530
1030793392
1116422593
12a390300
1364c2156
144138120
152a83e7c
hex1d5deb0

30793392 has 160 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 8266752.

The previous prime is 30793387. The next prime is 30793397. The reversal of 30793392 is 29339703.

It is an interprime number because it is at equal distance from previous prime (30793387) and next prime (30793397).

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

It is not an unprimeable number, because it can be changed into a prime (30793397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51109 + ... + 51707.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 230793392 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 30793392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

30793392 is an abundant number, since it is smaller than the sum of its proper divisors (76342608).

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

30793392 is a wasteful number, since it uses less digits than its factorization.

30793392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 36.

The square root of 30793392 is about 5549.1793987940. The cubic root of 30793392 is about 313.4386226309.

It can be divided in two parts, 307933 and 92, that added together give a square (308025 = 5552).

The spelling of 30793392 in words is "thirty million, seven hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 599 612 714 756 816 918 952 1008 1071 1198 1224 1428 1512 1797 1836 1904 2142 2396 2448 2856 3024 3213 3594 3672 4193 4284 4792 5391 5712 6426 7188 7344 8386 8568 9584 10183 10782 12579 12852 14376 16173 16772 17136 20366 21564 25158 25704 28752 30549 32346 33544 37737 40732 43128 50316 51408 61098 64692 67088 71281 75474 81464 86256 91647 100632 113211 122196 129384 142562 150948 162928 183294 201264 213843 226422 244392 258768 274941 285124 301896 366588 427686 452844 488784 549882 570248 603792 641529 733176 855372 905688 1099764 1140496 1283058 1466352 1710744 1811376 1924587 2199528 2566116 3421488 3849174 4399056 5132232 7698348 10264464 15396696 30793392