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30046068 = 2232131931109
BaseRepresentation
bin111001010011…
…1011101110100
32002112111110100
41302213131310
530142433233
62551554100
7513246603
oct162473564
962474410
1030046068
1115a62068
12a08b930
1362bcc50
143dc1a3a
152987813
hex1ca7774

30046068 has 144 divisors (see below), whose sum is σ = 89689600. Its totient is φ = 8398080.

The previous prime is 30046067. The next prime is 30046069. The reversal of 30046068 is 86064003.

It is an interprime number because it is at equal distance from previous prime (30046067) and next prime (30046069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30046061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275598 + ... + 275706.

Almost surely, 230046068 is an apocalyptic number.

30046068 is a gapful number since it is divisible by the number (38) 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 30046068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44844800).

30046068 is an abundant number, since it is smaller than the sum of its proper divisors (59643532).

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

30046068 is a wasteful number, since it uses less digits than its factorization.

30046068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30046068 is about 5481.4293756282. The cubic root of 30046068 is about 310.8822181275.

The spelling of 30046068 in words is "thirty million, forty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 31 36 38 39 52 57 62 76 78 93 109 114 117 124 156 171 186 218 228 234 247 279 327 342 372 403 436 468 494 558 589 654 684 741 806 981 988 1116 1178 1209 1308 1417 1482 1612 1767 1962 2071 2223 2356 2418 2834 2964 3379 3534 3627 3924 4142 4251 4446 4836 5301 5668 6213 6758 7068 7254 7657 8284 8502 8892 10137 10602 12426 12753 13516 14508 15314 17004 18639 20274 21204 22971 24852 25506 26923 30411 30628 37278 40548 43927 45942 51012 53846 60822 64201 68913 74556 80769 87854 91884 107692 121644 128402 131781 137826 161538 175708 192603 242307 256804 263562 275652 323076 385206 395343 484614 527124 577809 770412 790686 834613 969228 1155618 1581372 1669226 2311236 2503839 3338452 5007678 7511517 10015356 15023034 30046068