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30930328 = 231113191423
BaseRepresentation
bin111010111111…
…1010110011000
32011012102102201
41311333112120
530404232303
63022535544
7523621612
oct165772630
964172381
1030930328
1116506460
12a4375b4
13653c590
144171db2
152aae81d
hex1d7f598

30930328 has 64 divisors (see below), whose sum is σ = 71769600. Its totient is φ = 12286080.

The previous prime is 30930313. The next prime is 30930329. The reversal of 30930328 is 82303903.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 30930296 and 30930305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30930329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21025 + ... + 22447.

It is an arithmetic number, because the mean of its divisors is an integer number (1121400).

Almost surely, 230930328 is an apocalyptic number.

30930328 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 30930328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35884800).

30930328 is an abundant number, since it is smaller than the sum of its proper divisors (40839272).

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

30930328 is a wasteful number, since it uses less digits than its factorization.

30930328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 30930328 is about 5561.5041130975. The cubic root of 30930328 is about 313.9025486327.

The spelling of 30930328 in words is "thirty million, nine hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 143 152 209 247 286 418 494 572 836 988 1144 1423 1672 1976 2717 2846 5434 5692 10868 11384 15653 18499 21736 27037 31306 36998 54074 62612 73996 108148 125224 147992 203489 216296 297407 351481 406978 594814 702962 813956 1189628 1405924 1627912 2379256 2811848 3866291 7732582 15465164 30930328