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30676432 = 2417293889
BaseRepresentation
bin111010100000…
…1010111010000
32010201112011011
41311001113100
530323121212
63013300304
7521513443
oct165012720
963645134
1030676432
1116352726
12a334694
136480b47
14410765a
152a5e4a7
hex1d415d0

30676432 has 40 divisors (see below), whose sum is σ = 65118600. Its totient is φ = 13934592.

The previous prime is 30676417. The next prime is 30676463. The reversal of 30676432 is 23467603.

It can be written as a sum of positive squares in 4 ways, for example, as 11806096 + 18870336 = 3436^2 + 4344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30676394 and 30676403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5944 + ... + 9832.

It is an arithmetic number, because the mean of its divisors is an integer number (1627965).

Almost surely, 230676432 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 30676432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32559300).

30676432 is an abundant number, since it is smaller than the sum of its proper divisors (34442168).

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

30676432 is a wasteful number, since it uses less digits than its factorization.

30676432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 30676432 is about 5538.6308777531. The cubic root of 30676432 is about 313.0412831256.

The spelling of 30676432 in words is "thirty million, six hundred seventy-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3889 3944 7778 7888 15556 31112 62224 66113 112781 132226 225562 264452 451124 528904 902248 1057808 1804496 1917277 3834554 7669108 15338216 30676432