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330023232 = 263272111063
BaseRepresentation
bin10011101010111…
…100000101000000
3211222222220202200
4103222330011000
51133441220412
652425313200
711115102600
oct2352740500
9758886680
10330023232
1115a320380
1292635800
13534b0526
1431b8ac00
151de8e9dc
hex13abc140

330023232 has 252 divisors, whose sum is σ = 1201558176. Its totient is φ = 85639680.

The previous prime is 330023153. The next prime is 330023339. The reversal of 330023232 is 232320033.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309933 + ... + 310995.

It is an arithmetic number, because the mean of its divisors is an integer number (4768088).

Almost surely, 2330023232 is an apocalyptic number.

330023232 is a gapful number since it is divisible by the number (32) 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 330023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600779088).

330023232 is an abundant number, since it is smaller than the sum of its proper divisors (871534944).

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

330023232 is a wasteful number, since it uses less digits than its factorization.

330023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 330023232 is about 18166.5415530860. The cubic root of 330023232 is about 691.0585390804.

Adding to 330023232 its reverse (232320033), we get a palindrome (562343265).

The spelling of 330023232 in words is "three hundred thirty million, twenty-three thousand, two hundred thirty-two".