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332484096 = 2937172107
BaseRepresentation
bin10011110100010…
…100111000000000
3212011121221102210
4103310110320000
51140103442341
652554142120
711145032250
oct2364247000
9764557383
10332484096
1116075124a
1293421940
1353b62669
143222b960
151e2c8c16
hex13d14e00

332484096 has 240 divisors, whose sum is σ = 1085394816. Its totient is φ = 88571904.

The previous prime is 332484073. The next prime is 332484107. The reversal of 332484096 is 690484233.

It is a super-2 number, since 2×3324840962 = 221091348185874432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3107275 + ... + 3107381.

Almost surely, 2332484096 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 332484096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542697408).

332484096 is an abundant number, since it is smaller than the sum of its proper divisors (752910720).

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

332484096 is a wasteful number, since it uses less digits than its factorization.

332484096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 332484096 is about 18234.1464291587. The cubic root of 332484096 is about 692.7719453070.

The spelling of 332484096 in words is "three hundred thirty-two million, four hundred eighty-four thousand, ninety-six".