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3428481315 = 357192374719
BaseRepresentation
bin1100110001011010…
…0111100100100011
322211221021220012110
43030112213210203
524010142400230
61324112130403
7150650416230
oct31426474443
98757256173
103428481315
1114aa319836
127b8236a03
134283b878c
142474a2787
15150ed14b0
hexcc5a7923

3428481315 has 64 divisors (see below), whose sum is σ = 6886195200. Its totient is φ = 1420239744.

The previous prime is 3428481311. The next prime is 3428481349. The reversal of 3428481315 is 5131848243.

3428481315 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3428481315 - 22 = 3428481311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3428481311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8526 + ... + 83244.

It is an arithmetic number, because the mean of its divisors is an integer number (107596800).

Almost surely, 23428481315 is an apocalyptic number.

3428481315 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3428481315 is an abundant number, since it is smaller than the sum of its proper divisors (3457713885).

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

3428481315 is a wasteful number, since it uses less digits than its factorization.

3428481315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74776.

The product of its digits is 92160, while the sum is 39.

The square root of 3428481315 is about 58553.2348807476. The cubic root of 3428481315 is about 1507.8816714127.

The spelling of 3428481315 in words is "three billion, four hundred twenty-eight million, four hundred eighty-one thousand, three hundred fifteen".

Divisors: 1 3 5 7 15 19 21 23 35 57 69 95 105 115 133 161 285 345 399 437 483 665 805 1311 1995 2185 2415 3059 6555 9177 15295 45885 74719 224157 373595 523033 1120785 1419661 1569099 1718537 2615165 4258983 5155611 7098305 7845495 8592685 9937627 12029759 21294915 25778055 29812881 32652203 36089277 49688135 60148795 97956609 149064405 163261015 180446385 228565421 489783045 685696263 1142827105 3428481315