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30314088 = 2334741163
BaseRepresentation
bin111001110100…
…0111001101000
32010001010010000
41303220321220
530230022323
63001423000
7515444160
oct163507150
963033100
1030314088
1116125472
12a19aa60
136384c3c
1440515a0
1529dbe43
hex1ce8e68

30314088 has 160 divisors (see below), whose sum is σ = 100013760. Its totient is φ = 8398080.

The previous prime is 30314087. The next prime is 30314113. The reversal of 30314088 is 88041303.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30314087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185895 + ... + 186057.

It is an arithmetic number, because the mean of its divisors is an integer number (625086).

Almost surely, 230314088 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 30314088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50006880).

30314088 is an abundant number, since it is smaller than the sum of its proper divisors (69699672).

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

30314088 is a wasteful number, since it uses less digits than its factorization.

30314088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 30314088 is about 5505.8230992287. The cubic root of 30314088 is about 311.8038708181.

The spelling of 30314088 in words is "thirty million, three hundred fourteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 81 82 84 108 123 126 162 163 164 168 189 216 246 252 287 324 326 328 369 378 489 492 504 567 574 648 652 738 756 861 978 984 1107 1134 1141 1148 1304 1467 1476 1512 1722 1956 2214 2268 2282 2296 2583 2934 2952 3321 3423 3444 3912 4401 4428 4536 4564 5166 5868 6642 6683 6846 6888 7749 8802 8856 9128 10269 10332 11736 13203 13284 13366 13692 15498 17604 20049 20538 20664 23247 26406 26568 26732 27384 30807 30996 35208 40098 41076 46494 46781 52812 53464 60147 61614 61992 80196 82152 92421 92988 93562 105624 120294 123228 140343 160392 180441 184842 185976 187124 240588 246456 280686 360882 369684 374248 421029 481176 541323 561372 721764 739368 842058 1082646 1122744 1263087 1443528 1684116 2165292 2526174 3368232 3789261 4330584 5052348 7578522 10104696 15157044 30314088