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330780240 = 243357131167
BaseRepresentation
bin10011101101110…
…100111001010000
3212001102101012000
4103231310321100
51134134431430
652453434000
711124404610
oct2355647120
9761371160
10330780240
1115a7980aa
129293b900
13536b6c6b
1431d06a40
151e08de60
hex13b74e50

330780240 has 320 divisors, whose sum is σ = 1319915520. Its totient is φ = 74580480.

The previous prime is 330780223. The next prime is 330780283. The reversal of 330780240 is 42087033.

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 63 ways as a sum of consecutive naturals, for example, 1980637 + ... + 1980803.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2330780240 is an apocalyptic number.

330780240 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 330780240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659957760).

330780240 is an abundant number, since it is smaller than the sum of its proper divisors (989135280).

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

330780240 is a wasteful number, since it uses less digits than its factorization.

330780240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 330780240 is about 18187.3648448586. The cubic root of 330780240 is about 691.5865194467.

The spelling of 330780240 in words is "three hundred thirty million, seven hundred eighty thousand, two hundred forty".