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30724976 = 2419211479
BaseRepresentation
bin111010100110…
…1001101110000
32010210222202002
41311031031300
530331144401
63014313132
7522105122
oct165151560
963728662
1030724976
1116386147
12a3587a8
136499c79
14411b212
152a6da6b
hex1d4d370

30724976 has 40 divisors (see below), whose sum is σ = 63091200. Its totient is φ = 14454720.

The previous prime is 30724963. The next prime is 30724979. The reversal of 30724976 is 67942703.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30724979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63905 + ... + 64383.

It is an arithmetic number, because the mean of its divisors is an integer number (1577280).

Almost surely, 230724976 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 30724976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31545600).

30724976 is an abundant number, since it is smaller than the sum of its proper divisors (32366224).

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

30724976 is a wasteful number, since it uses less digits than its factorization.

30724976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 30724976 is about 5543.0114558785. The cubic root of 30724976 is about 313.2063204338.

The spelling of 30724976 in words is "thirty million, seven hundred twenty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 76 152 211 304 422 479 844 958 1688 1916 3376 3832 4009 7664 8018 9101 16036 18202 32072 36404 64144 72808 101069 145616 202138 404276 808552 1617104 1920311 3840622 7681244 15362488 30724976