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30168352 = 251929259
BaseRepresentation
bin111001100010…
…1010100100000
32002202201012101
41303011110200
530210341402
62554340144
7514266244
oct163052440
962681171
1030168352
1116035a25
12a12a654
1363337c6
144014424
1529adb87
hex1cc5520

30168352 has 72 divisors (see below), whose sum is σ = 65847600. Its totient is φ = 13563648.

The previous prime is 30168349. The next prime is 30168367. The reversal of 30168352 is 25386103.

30168352 = T223 + T224 + ... + T576.

It is a self number, because there is not a number n which added to its sum of digits gives 30168352.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511299 + ... + 511357.

It is an arithmetic number, because the mean of its divisors is an integer number (914550).

Almost surely, 230168352 is an apocalyptic number.

30168352 is a gapful number since it is divisible by the number (32) 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 30168352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32923800).

30168352 is an abundant number, since it is smaller than the sum of its proper divisors (35679248).

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

30168352 is a wasteful number, since it uses less digits than its factorization.

30168352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 30168352 is about 5492.5724392128. The cubic root of 30168352 is about 311.3033987403.

It can be divided in two parts, 30168 and 352, that multiplied together give a triangular number (10619136 = T4608).

The spelling of 30168352 in words is "thirty million, one hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 29 32 38 58 59 76 116 118 152 232 236 304 464 472 551 608 841 928 944 1102 1121 1682 1711 1888 2204 2242 3364 3422 4408 4484 6728 6844 8816 8968 13456 13688 15979 17632 17936 26912 27376 31958 32509 35872 49619 54752 63916 65018 99238 127832 130036 198476 255664 260072 396952 511328 520144 793904 942761 1040288 1587808 1885522 3771044 7542088 15084176 30168352