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3422489760 = 253551941113
BaseRepresentation
bin1100101111111111…
…0000110010100000
322211112000111100000
43023333300302200
524002124133020
61323335500000
7150545453154
oct31377606240
98745014300
103422489760
1114a69a7238
127b6227600
1342709b591
14246783064
151506eb090
hexcbff0ca0

3422489760 has 576 divisors, whose sum is σ = 13175809920. Its totient is φ = 836075520.

The previous prime is 3422489753. The next prime is 3422489767. The reversal of 3422489760 is 679842243.

3422489760 is a `hidden beast` number, since 342 + 248 + 9 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3422489753) and next prime (3422489767).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3422489767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30287464 + ... + 30287576.

It is an arithmetic number, because the mean of its divisors is an integer number (22874670).

Almost surely, 23422489760 is an apocalyptic number.

3422489760 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 3422489760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587904960).

3422489760 is an abundant number, since it is smaller than the sum of its proper divisors (9753320160).

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

3422489760 is a wasteful number, since it uses less digits than its factorization.

3422489760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3422489760 is about 58502.0491948786. The cubic root of 3422489760 is about 1507.0027765385.

The spelling of 3422489760 in words is "three billion, four hundred twenty-two million, four hundred eighty-nine thousand, seven hundred sixty".