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30738840 = 23351122973
BaseRepresentation
bin111010101000…
…0100110011000
32010211200202120
41311100212120
530332120330
63014501240
7522163416
oct165204630
963750676
1030738840
1116395600
12a364820
1364a3382
1441222b6
152a72c10
hex1d50998

30738840 has 192 divisors, whose sum is σ = 106293600. Its totient is φ = 7096320.

The previous prime is 30738817. The next prime is 30738857. The reversal of 30738840 is 4883703.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 421044 + ... + 421116.

Almost surely, 230738840 is an apocalyptic number.

30738840 is a gapful number since it is divisible by the number (30) 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 30738840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53146800).

30738840 is an abundant number, since it is smaller than the sum of its proper divisors (75554760).

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

30738840 is a wasteful number, since it uses less digits than its factorization.

30738840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 30738840 is about 5544.2618985759. The cubic root of 30738840 is about 313.2534226075.

The spelling of 30738840 in words is "thirty million, seven hundred thirty-eight thousand, eight hundred forty".