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3345946488 = 233354728319
BaseRepresentation
bin1100011101101111…
…0001011101111000
322122011222200201000
43013123301131320
523323030241423
61312003125000
7145626035013
oct30733613570
98564880630
103345946488
111467777135
12794673760
1341427b6c1
1423a53a37a
15148b2b843
hexc76f1778

3345946488 has 64 divisors (see below), whose sum is σ = 9311616000. Its totient is φ = 1113237216.

The previous prime is 3345946481. The next prime is 3345946489. The reversal of 3345946488 is 8846495433.

3345946488 is a `hidden beast` number, since 3 + 3 + 4 + 594 + 6 + 48 + 8 = 666.

It is a super-2 number, since 2×33459464882 = 22390715801119068288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345946481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103993 + ... + 132311.

It is an arithmetic number, because the mean of its divisors is an integer number (145494000).

Almost surely, 23345946488 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 3345946488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655808000).

3345946488 is an abundant number, since it is smaller than the sum of its proper divisors (5965669512).

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

3345946488 is a wasteful number, since it uses less digits than its factorization.

3345946488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28881 (or 28871 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 3345946488 is about 57844.1569045656. The cubic root of 3345946488 is about 1495.6833656949.

The spelling of 3345946488 in words is "three billion, three hundred forty-five million, nine hundred forty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 547 1094 1641 2188 3282 4376 4923 6564 9846 13128 14769 19692 28319 29538 39384 56638 59076 84957 113276 118152 169914 226552 254871 339828 509742 679656 764613 1019484 1529226 2038968 3058452 6116904 15490493 30980986 46471479 61961972 92942958 123923944 139414437 185885916 278828874 371771832 418243311 557657748 836486622 1115315496 1672973244 3345946488