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30654640 = 2451133391
BaseRepresentation
bin111010011110…
…0000010110000
32010200102021001
41310330002300
530321422030
63013011344
7521363062
oct164740260
963612231
1030654640
1116338315
12a323b54
136473c53
1440dd732
152a57cca
hex1d3c0b0

30654640 has 40 divisors (see below), whose sum is σ = 71923968. Its totient is φ = 12149760.

The previous prime is 30654601. The next prime is 30654641. The reversal of 30654640 is 4645603.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 30654599 and 30654608.

It is not an unprimeable number, because it can be changed into a prime (30654641) by changing a digit.

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, 7345 + ... + 10735.

Almost surely, 230654640 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 30654640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35961984).

30654640 is an abundant number, since it is smaller than the sum of its proper divisors (41269328).

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

30654640 is a wasteful number, since it uses less digits than its factorization.

30654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 30654640 is about 5536.6632550662. The cubic root of 30654640 is about 312.9671392178.

It can be divided in two parts, 306 and 54640, that added together give a triangular number (54946 = T331).

The spelling of 30654640 in words is "thirty million, six hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 3391 4520 6782 9040 13564 16955 27128 33910 54256 67820 135640 271280 383183 766366 1532732 1915915 3065464 3831830 6130928 7663660 15327320 30654640