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3240132032 = 26373074457
BaseRepresentation
bin1100000100100000…
…0111110111000000
322100210212202120002
43001020013313000
523113433211112
61253303135132
7143202445034
oct30110076700
98323782502
103240132032
111412a74175
127651444a8
133c83804b7
1422a4741c4
1513e6c91c2
hexc1207dc0

3240132032 has 56 divisors (see below), whose sum is σ = 6626406864. Its totient is φ = 1570793472.

The previous prime is 3240132023. The next prime is 3240132037. The reversal of 3240132032 is 2302310423.

It is a junction number, because it is equal to n+sod(n) for n = 3240131995 and 3240132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240132037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 724748 + ... + 729204.

It is an arithmetic number, because the mean of its divisors is an integer number (118328694).

Almost surely, 23240132032 is an apocalyptic number.

3240132032 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 3240132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313203432).

3240132032 is an abundant number, since it is smaller than the sum of its proper divisors (3386274832).

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

3240132032 is a wasteful number, since it uses less digits than its factorization.

3240132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3240132032 is about 56922.1576541157. The cubic root of 3240132032 is about 1479.7473442581.

Adding to 3240132032 its reverse (2302310423), we get a palindrome (5542442455).

The spelling of 3240132032 in words is "three billion, two hundred forty million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 307 592 614 1184 1228 2368 2456 4457 4912 8914 9824 11359 17828 19648 22718 35656 45436 71312 90872 142624 164909 181744 285248 329818 363488 659636 726976 1319272 1368299 2638544 2736598 5277088 5473196 10554176 10946392 21892784 43785568 50627063 87571136 101254126 202508252 405016504 810033008 1620066016 3240132032