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30342924 = 2235193153
BaseRepresentation
bin111001110111…
…1111100001100
32010002120200000
41303233330030
530231433144
63002204300
7515624223
oct163577414
963076600
1030342924
11161450a7
12a1b3690
1363950c1
14405bcba
1529e5769
hex1ceff0c

30342924 has 144 divisors (see below), whose sum is σ = 88058880. Its totient is φ = 9097920.

The previous prime is 30342901. The next prime is 30342929. The reversal of 30342924 is 42924303.

It is a happy number.

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 (30342929) 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, 572482 + ... + 572534.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 230342924 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 30342924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

30342924 is an abundant number, since it is smaller than the sum of its proper divisors (57715956).

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

30342924 is a wasteful number, since it uses less digits than its factorization.

30342924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30342924 is about 5508.4411588035. The cubic root of 30342924 is about 311.9027063496.

The spelling of 30342924 in words is "thirty million, three hundred forty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 53 54 57 62 76 81 93 106 108 114 124 159 162 171 186 212 228 243 279 318 324 342 372 477 486 513 558 589 636 684 837 954 972 1007 1026 1116 1178 1431 1539 1643 1674 1767 1908 2014 2052 2356 2511 2862 3021 3078 3286 3348 3534 4028 4293 4617 4929 5022 5301 5724 6042 6156 6572 7068 7533 8586 9063 9234 9858 10044 10602 12084 12879 14787 15066 15903 17172 18126 18468 19716 21204 25758 27189 29574 30132 31217 31806 36252 44361 47709 51516 54378 59148 62434 63612 81567 88722 93651 95418 108756 124868 133083 143127 163134 177444 187302 190836 244701 266166 280953 286254 326268 374604 399249 489402 532332 561906 572508 798498 842859 978804 1123812 1596996 1685718 2528577 3371436 5057154 7585731 10114308 15171462 30342924