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3415060320 = 253572114817
BaseRepresentation
bin1100101110001101…
…1010111101100000
322211000001001001120
43023203122331200
523443223412240
61322512332240
7150425351040
oct31343327540
98730031046
103415060320
1114a2792401
127b3844080
13425699a69
142457ab720
1514ec2ead0
hexcb8daf60

3415060320 has 192 divisors, whose sum is σ = 12355047936. Its totient is φ = 776724480.

The previous prime is 3415060307. The next prime is 3415060343. The reversal of 3415060320 is 230605143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 706552 + ... + 711368.

It is an arithmetic number, because the mean of its divisors is an integer number (64349208).

Almost surely, 23415060320 is an apocalyptic number.

3415060320 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 3415060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177523968).

3415060320 is an abundant number, since it is smaller than the sum of its proper divisors (8939987616).

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

3415060320 is a wasteful number, since it uses less digits than its factorization.

3415060320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3415060320 is about 58438.5174349932. The cubic root of 3415060320 is about 1505.9115341264.

Adding to 3415060320 its reverse (230605143), we get a palindrome (3645665463).

The spelling of 3415060320 in words is "three billion, four hundred fifteen million, sixty thousand, three hundred twenty".