334956420 has 36 divisors (see below), whose sum is σ = 1016035020. Its totient is φ = 89321664.

The previous prime is 334956403. The next prime is 334956437. The reversal of 334956420 is 24659433.

334956420 is a `hidden beast` number, since 3 + 3 + 4 + 9 + 5 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (334956403) and next prime (334956437).

It can be written as a sum of positive squares in 2 ways, for example, as 183223296 + 151733124 = 13536^2 + 12318^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×334956420² = 224391606598432800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930255 + ... + 930614.

It is an arithmetic number, because the mean of its divisors is an integer number (28223195).

Almost surely, 2^334956420 is an apocalyptic number.

334956420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334956420 is an abundant number, since it is smaller than the sum of its proper divisors (681078600).

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

334956420 is a wasteful number, since it uses less digits than its factorization.

334956420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860884 (or 1860879 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 334956420 is about 18301.8146641255. The cubic root of 334956420 is about 694.4848381173.

The spelling of 334956420 in words is "three hundred thirty-four million, nine hundred fifty-six thousand, four hundred twenty".