Search a number
-
+
30644928 = 263283641
BaseRepresentation
bin111010011100…
…1101011000000
32010122220221100
41310321223000
530321114203
63012454400
7521322546
oct164715300
963586840
1030644928
1116330a96
12a31a400
13646c6c2
1440d9d96
152a54ea3
hex1d39ac0

30644928 has 84 divisors (see below), whose sum is σ = 89035128. Its totient is φ = 10076160.

The previous prime is 30644927. The next prime is 30644941. The reversal of 30644928 is 82944603.

It is a happy number.

30644928 is a `hidden beast` number, since 3 + 0 + 644 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×306449282 = 1878223224250368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30644892 and 30644901.

It is not an unprimeable number, because it can be changed into a prime (30644921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47488 + ... + 48128.

It is an arithmetic number, because the mean of its divisors is an integer number (1059942).

Almost surely, 230644928 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 30644928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44517564).

30644928 is an abundant number, since it is smaller than the sum of its proper divisors (58390200).

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

30644928 is a wasteful number, since it uses less digits than its factorization.

30644928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 30644928 is about 5535.7861230362. The cubic root of 30644928 is about 312.9340843207.

The spelling of 30644928 in words is "thirty million, six hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 144 166 192 249 288 332 498 576 641 664 747 996 1282 1328 1494 1923 1992 2564 2656 2988 3846 3984 5128 5312 5769 5976 7692 7968 10256 11538 11952 15384 15936 20512 23076 23904 30768 41024 46152 47808 53203 61536 92304 106406 123072 159609 184608 212812 319218 369216 425624 478827 638436 851248 957654 1276872 1702496 1915308 2553744 3404992 3830616 5107488 7661232 10214976 15322464 30644928