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30292704 = 2534132931
BaseRepresentation
bin111001110001…
…1101011100000
32010000000210000
41303203223200
530223331304
63001140000
7515324631
oct163435340
963000700
1030292704
11161103a2
12a18a600
1363782a0
144047888
1529d5939
hex1ce3ae0

30292704 has 240 divisors, whose sum is σ = 102453120. Its totient is φ = 8709120.

The previous prime is 30292699. The next prime is 30292709. The reversal of 30292704 is 40729203.

It is an interprime number because it is at equal distance from previous prime (30292699) and next prime (30292709).

It is a super-3 number, since 3×302927043 (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30292709) 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 39 ways as a sum of consecutive naturals, for example, 977169 + ... + 977199.

It is an arithmetic number, because the mean of its divisors is an integer number (426888).

Almost surely, 230292704 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 30292704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51226560).

30292704 is an abundant number, since it is smaller than the sum of its proper divisors (72160416).

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

30292704 is a wasteful number, since it uses less digits than its factorization.

30292704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30292704 is about 5503.8808126630. The cubic root of 30292704 is about 311.7305365717.

The spelling of 30292704 in words is "thirty million, two hundred ninety-two thousand, seven hundred four".