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3428497368 = 233419127701
BaseRepresentation
bin1100110001011010…
…1011011111011000
322211221022201020000
43030112223133120
524010143403433
61324112333000
7150650514102
oct31426533730
98757281200
103428497368
1114aa32a8aa
127b8244160
134283c2b8a
142474a8572
15150ed6113
hexcc5ab7d8

3428497368 has 80 divisors (see below), whose sum is σ = 9653592960. Its totient is φ = 1136808000.

The previous prime is 3428497343. The next prime is 3428497381. The reversal of 3428497368 is 8637948243.

It is a super-3 number, since 3×34284973683 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109918 + ... + 137618.

It is an arithmetic number, because the mean of its divisors is an integer number (120669912).

Almost surely, 23428497368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428497368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826796480).

3428497368 is an abundant number, since it is smaller than the sum of its proper divisors (6225095592).

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

3428497368 is a wasteful number, since it uses less digits than its factorization.

3428497368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27910 (or 27897 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3428497368 is about 58553.3719609725. The cubic root of 3428497368 is about 1507.8840248343.

The spelling of 3428497368 in words is "three billion, four hundred twenty-eight million, four hundred ninety-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 191 216 324 382 573 648 764 1146 1528 1719 2292 3438 4584 5157 6876 10314 13752 15471 20628 27701 30942 41256 55402 61884 83103 110804 123768 166206 221608 249309 332412 498618 664824 747927 997236 1495854 1994472 2243781 2991708 4487562 5290891 5983416 8975124 10581782 15872673 17950248 21163564 31745346 42327128 47618019 63490692 95236038 126981384 142854057 190472076 285708114 380944152 428562171 571416228 857124342 1142832456 1714248684 3428497368