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3323082240 = 29335131367
BaseRepresentation
bin1100011000010010…
…0011011000000000
322120120222001212000
43012010203120000
523301202112430
61305425104000
7145230506262
oct30604433000
98516861760
103323082240
11145587a965
12788a88000
1340c60466a
142374a7b32
15146b11e60
hexc6123600

3323082240 has 320 divisors, whose sum is σ = 11926379520. Its totient is φ = 876994560.

The previous prime is 3323082229. The next prime is 3323082271. The reversal of 3323082240 is 422803233.

3323082240 is a `hidden beast` number, since 332 + 308 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×33230822402 = 22085751147606835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9054537 + ... + 9054903.

It is an arithmetic number, because the mean of its divisors is an integer number (37269936).

Almost surely, 23323082240 is an apocalyptic number.

3323082240 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 3323082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963189760).

3323082240 is an abundant number, since it is smaller than the sum of its proper divisors (8603297280).

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

3323082240 is a wasteful number, since it uses less digits than its factorization.

3323082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3323082240 is about 57646.1814867212. The cubic root of 3323082240 is about 1492.2686997941.

Adding to 3323082240 its reverse (422803233), we get a palindrome (3745885473).

The spelling of 3323082240 in words is "three billion, three hundred twenty-three million, eighty-two thousand, two hundred forty".