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3343145616 = 243357113553
BaseRepresentation
bin1100011101000100…
…0101101010010000
322121222201101122000
43013101011222100
523321321124431
61311423114000
7145563161136
oct30721055220
98558641560
103343145616
111466133868
12793742900
1341380a895
1423a00b756
151487769e6
hexc7445a90

3343145616 has 80 divisors (see below), whose sum is σ = 9613581120. Its totient is φ = 1112348160.

The previous prime is 3343145563. The next prime is 3343145647. The reversal of 3343145616 is 6165413433.

3343145616 is a `hidden beast` number, since 3 + 3 + 4 + 31 + 4 + 5 + 616 = 666.

It is a super-2 number, since 2×33431456162 = 22353245219560038912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239896 + ... + 253448.

It is an arithmetic number, because the mean of its divisors is an integer number (120169764).

Almost surely, 23343145616 is an apocalyptic number.

3343145616 is a gapful number since it is divisible by the number (36) 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 3343145616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806790560).

3343145616 is an abundant number, since it is smaller than the sum of its proper divisors (6270435504).

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

3343145616 is a wasteful number, since it uses less digits than its factorization.

3343145616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14141 (or 14129 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 3343145616 is about 57819.9413351484. The cubic root of 3343145616 is about 1495.2659066250.

The spelling of 3343145616 in words is "three billion, three hundred forty-three million, one hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 571 1142 1713 2284 3426 4568 5139 6852 9136 10278 13553 13704 15417 20556 27106 27408 30834 40659 41112 54212 61668 81318 82224 108424 121977 123336 162636 216848 243954 246672 325272 365931 487908 650544 731862 975816 1463724 1951632 2927448 5854896 7738763 15477526 23216289 30955052 46432578 61910104 69648867 92865156 123820208 139297734 185730312 208946601 278595468 371460624 417893202 557190936 835786404 1114381872 1671572808 3343145616