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30704832 = 26345923
BaseRepresentation
bin111010100100…
…0010011000000
32010202222010000
41311020103000
530330023312
63014040000
7521662314
oct165102300
963688100
1030704832
1116371aa4
12a349000
136490a52
144113b44
152a67adc
hex1d484c0

30704832 has 70 divisors (see below), whose sum is σ = 91034108. Its totient is φ = 10233216.

The previous prime is 30704813. The next prime is 30704837. The reversal of 30704832 is 23840703.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30704796 and 30704805.

It is not an unprimeable number, because it can be changed into a prime (30704837) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2223 + ... + 8145.

Almost surely, 230704832 is an apocalyptic number.

30704832 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 30704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45517054).

30704832 is an abundant number, since it is smaller than the sum of its proper divisors (60329276).

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

30704832 is an equidigital number, since it uses as much as digits as its factorization.

30704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30704832 is about 5541.1940951387. The cubic root of 30704832 is about 313.1378570503.

The spelling of 30704832 in words is "thirty million, seven hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 5923 11846 17769 23692 35538 47384 53307 71076 94768 106614 142152 159921 189536 213228 284304 319842 379072 426456 479763 568608 639684 852912 959526 1137216 1279368 1705824 1919052 2558736 3411648 3838104 5117472 7676208 10234944 15352416 30704832