334001472 has 112 divisors (see below), whose sum is σ = 1016276352. Its totient is φ = 94832640.

The previous prime is 334001467. The next prime is 334001477. The reversal of 334001472 is 274100433.

It is an interprime number because it is at equal distance from previous prime (334001467) and next prime (334001477).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×334001472² = 223113966596333568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334001477) 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 15 ways as a sum of consecutive naturals, for example, 242578 + ... + 243950.

It is an arithmetic number, because the mean of its divisors is an integer number (9073896).

Almost surely, 2^334001472 is an apocalyptic number.

334001472 is a gapful number since it is divisible by the number (32) 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 334001472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508138176).

334001472 is an abundant number, since it is smaller than the sum of its proper divisors (682274880).

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

334001472 is a wasteful number, since it uses less digits than its factorization.

334001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 334001472 is about 18275.7071545809. The cubic root of 334001472 is about 693.8242266493.

The spelling of 334001472 in words is "three hundred thirty-four million, one thousand, four hundred seventy-two".