336270144 has 168 divisors, whose sum is σ = 1069287168. Its totient is φ = 92897280.

The previous prime is 336270139. The next prime is 336270169. The reversal of 336270144 is 441072633.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×336270144² = 226155219491561472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291072 + ... + 292224.

Almost surely, 2^336270144 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 336270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534643584).

336270144 is an abundant number, since it is smaller than the sum of its proper divisors (733017024).

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

336270144 is a wasteful number, since it uses less digits than its factorization.

336270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 336270144 is about 18337.6700810108. The cubic root of 336270144 is about 695.3915940953.

It can be divided in two parts, 336 and 270144, that added together give a triangular number (270480 = T₇₃₅).

The spelling of 336270144 in words is "three hundred thirty-six million, two hundred seventy thousand, one hundred forty-four".