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30798768 = 24371113641
BaseRepresentation
bin111010101111…
…1001110110000
32010221201222010
41311133032300
530341030033
63020042520
7522533220
oct165371660
963851863
1030798768
1116426630
12a393440
1364c4730
14413a080
152a85863
hex1d5f3b0

30798768 has 160 divisors (see below), whose sum is σ = 106993152. Its totient is φ = 7372800.

The previous prime is 30798743. The next prime is 30798787. The reversal of 30798768 is 86789703.

It is a super-2 number, since 2×307987682 = 1897128220635648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47728 + ... + 48368.

Almost surely, 230798768 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 30798768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53496576).

30798768 is an abundant number, since it is smaller than the sum of its proper divisors (76194384).

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

30798768 is a wasteful number, since it uses less digits than its factorization.

30798768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 30798768 is about 5549.6637735993. The cubic root of 30798768 is about 313.4568619119.

The spelling of 30798768 in words is "thirty million, seven hundred ninety-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 641 728 858 924 1001 1092 1144 1232 1282 1456 1716 1848 1923 2002 2184 2288 2564 3003 3432 3696 3846 4004 4368 4487 5128 6006 6864 7051 7692 8008 8333 8974 10256 12012 13461 14102 15384 16016 16666 17948 21153 24024 24999 26922 28204 30768 33332 35896 42306 48048 49357 49998 53844 56408 58331 66664 71792 84612 91663 98714 99996 107688 112816 116662 133328 148071 169224 174993 183326 197428 199992 215376 233324 274989 296142 338448 349986 366652 394856 399984 466648 549978 592284 641641 699972 733304 789712 933296 1099956 1184568 1283282 1399944 1466608 1924923 2199912 2369136 2566564 2799888 3849846 4399824 5133128 7699692 10266256 15399384 30798768