Search a number
-
+
330570720 = 25345231109
BaseRepresentation
bin10011101101000…
…001101111100000
3212001000201210000
4103231001233200
51134111230340
652445140000
711122543014
oct2355015740
9761021700
10330570720
1115a664747
129285a600
135364279c
1431c90544
151e04bd30
hex13b41be0

330570720 has 240 divisors, whose sum is σ = 1218460320. Its totient is φ = 84243456.

The previous prime is 330570703. The next prime is 330570761. The reversal of 330570720 is 27075033.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297526 + ... + 298634.

It is an arithmetic number, because the mean of its divisors is an integer number (5076918).

Almost surely, 2330570720 is an apocalyptic number.

330570720 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 330570720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609230160).

330570720 is an abundant number, since it is smaller than the sum of its proper divisors (887889600).

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

330570720 is a wasteful number, since it uses less digits than its factorization.

330570720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 330570720 is about 18181.6038896463. The cubic root of 330570720 is about 691.4404689930.

The spelling of 330570720 in words is "three hundred thirty million, five hundred seventy thousand, seven hundred twenty".