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30761874 = 2321113171937
BaseRepresentation
bin111010101011…
…0001110010010
32010212212100200
41311112032102
530333334444
63015200030
7522320523
oct165261622
963785320
1030761874
1116400940
12a376016
1364b09c0
14412a84a
152a79969
hex1d56392

30761874 has 192 divisors, whose sum is σ = 89631360. Its totient is φ = 7464960.

The previous prime is 30761867. The next prime is 30761909. The reversal of 30761874 is 47816703.

30761874 is a `hidden beast` number, since 30 + 7 + 618 + 7 + 4 = 666.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 831384 + ... + 831420.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 230761874 is an apocalyptic number.

30761874 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30761874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

30761874 is an abundant number, since it is smaller than the sum of its proper divisors (58869486).

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

30761874 is a wasteful number, since it uses less digits than its factorization.

30761874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 30761874 is about 5546.3387923927. The cubic root of 30761874 is about 313.3316480469.

It can be divided in two parts, 3076 and 1874, that added together give a triangular number (4950 = T99).

The spelling of 30761874 in words is "thirty million, seven hundred sixty-one thousand, eight hundred seventy-four".