Search a number
-
+
30368232 = 23321979281
BaseRepresentation
bin111001111011…
…0000111101000
32010010212101100
41303312013220
530233240412
63002521400
7516061056
oct163660750
963125340
1030368232
1116162114
12a206260
1363a378b
1440671d6
1529ecedc
hex1cf61e8

30368232 has 96 divisors (see below), whose sum is σ = 87984000. Its totient is φ = 9434880.

The previous prime is 30368207. The next prime is 30368269. The reversal of 30368232 is 23286303.

It is a junction number, because it is equal to n+sod(n) for n = 30368196 and 30368205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107932 + ... + 108212.

It is an arithmetic number, because the mean of its divisors is an integer number (916500).

Almost surely, 230368232 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 30368232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43992000).

30368232 is an abundant number, since it is smaller than the sum of its proper divisors (57615768).

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

30368232 is a wasteful number, since it uses less digits than its factorization.

30368232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

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

The square root of 30368232 is about 5510.7378816271. The cubic root of 30368232 is about 311.9893980618.

The spelling of 30368232 in words is "thirty million, three hundred sixty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 79 114 152 158 171 228 237 281 316 342 456 474 562 632 684 711 843 948 1124 1368 1422 1501 1686 1896 2248 2529 2844 3002 3372 4503 5058 5339 5688 6004 6744 9006 10116 10678 12008 13509 16017 18012 20232 21356 22199 27018 32034 36024 42712 44398 48051 54036 64068 66597 88796 96102 108072 128136 133194 177592 192204 199791 266388 384408 399582 421781 532776 799164 843562 1265343 1598328 1687124 2530686 3374248 3796029 5061372 7592058 10122744 15184116 30368232