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3326940720 = 2432571151431
BaseRepresentation
bin1100011001001101…
…0001011000110000
322120212020002200200
43012103101120300
523303144100340
61310043515200
7145305346425
oct30623213060
98525202620
103326940720
111457a75894
1278a228b00
1341035599c
14237bcdd4c
15147125330
hexc64d1630

3326940720 has 240 divisors, whose sum is σ = 11431839744. Its totient is φ = 866880000.

The previous prime is 3326940713. The next prime is 3326940733. The reversal of 3326940720 is 270496233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33269407202 = 22137069108788236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 7718905 + ... + 7719335.

Almost surely, 23326940720 is an apocalyptic number.

3326940720 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 3326940720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715919872).

3326940720 is an abundant number, since it is smaller than the sum of its proper divisors (8104899024).

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

3326940720 is a wasteful number, since it uses less digits than its factorization.

3326940720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3326940720 is about 57679.6386951236. The cubic root of 3326940720 is about 1492.8460414938.

The spelling of 3326940720 in words is "three billion, three hundred twenty-six million, nine hundred forty thousand, seven hundred twenty".