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332141040 = 243357111997
BaseRepresentation
bin10011110011000…
…001000111110000
3212010222111212000
4103303001013300
51140012003130
652542534000
711142103140
oct2363010760
9763874760
10332141040
11160537530
1293297300
1353a7247a
143217c920
151e25c260
hex13cc11f0

332141040 has 320 divisors, whose sum is σ = 1427051520. Its totient is φ = 68981760.

The previous prime is 332141039. The next prime is 332141063. The reversal of 332141040 is 40141233.

It is a super-2 number, since 2×3321410402 = 220635340904563200, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165322 + ... + 167318.

It is an arithmetic number, because the mean of its divisors is an integer number (4459536).

Almost surely, 2332141040 is an apocalyptic number.

332141040 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 332141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713525760).

332141040 is an abundant number, since it is smaller than the sum of its proper divisors (1094910480).

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

332141040 is a wasteful number, since it uses less digits than its factorization.

332141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 332141040 is about 18224.7370351399. The cubic root of 332141040 is about 692.5335967053.

Adding to 332141040 its reverse (40141233), we get a palindrome (372282273).

The spelling of 332141040 in words is "three hundred thirty-two million, one hundred forty-one thousand, forty".