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330675840 = 273251117307
BaseRepresentation
bin10011101101011…
…011011010000000
3212001020001222100
4103231123122000
51134123111330
652451310400
711123461335
oct2355333200
9761201870
10330675840
1115a726720
12928ab400
135367b5a1
1431cba98c
151e06d060
hex13b5b680

330675840 has 384 divisors, whose sum is σ = 1323241920. Its totient is φ = 75202560.

The previous prime is 330675827. The next prime is 330675841. The reversal of 330675840 is 48576033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3306758402 = 218693022319411200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 330675795 and 330675804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330675841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076967 + ... + 1077273.

Almost surely, 2330675840 is an apocalyptic number.

330675840 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 330675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661620960).

330675840 is an abundant number, since it is smaller than the sum of its proper divisors (992566080).

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

330675840 is a wasteful number, since it uses less digits than its factorization.

330675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 330675840 is about 18184.4944939363. The cubic root of 330675840 is about 691.5137528771.

The spelling of 330675840 in words is "three hundred thirty million, six hundred seventy-five thousand, eight hundred forty".