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3355557104 = 2417471991319
BaseRepresentation
bin1100100000000001…
…1011110011110000
322122212001221222202
43020000123303300
523333010311404
61312545122332
7146103523214
oct31000336360
98585057882
103355557104
111472140799
127979293a8
13416264c63
1423b91c944
151498c921e
hexc801bcf0

3355557104 has 80 divisors (see below), whose sum is σ = 7070976000. Its totient is φ = 1536556032.

The previous prime is 3355557089. The next prime is 3355557119. The reversal of 3355557104 is 4017555533.

It is an interprime number because it is at equal distance from previous prime (3355557089) and next prime (3355557119).

It is a super-2 number, since 2×33555571042 = 22519526956409733632, which contains 22 as substring.

It is a congruent number.

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, 2543357 + ... + 2544675.

It is an arithmetic number, because the mean of its divisors is an integer number (88387200).

Almost surely, 23355557104 is an apocalyptic number.

3355557104 is a gapful number since it is divisible by the number (34) 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 3355557104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488000).

3355557104 is an abundant number, since it is smaller than the sum of its proper divisors (3715418896).

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

3355557104 is a wasteful number, since it uses less digits than its factorization.

3355557104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 38.

The square root of 3355557104 is about 57927.1706887191. The cubic root of 3355557104 is about 1497.1140219444.

The spelling of 3355557104 in words is "three billion, three hundred fifty-five million, five hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 199 272 376 398 752 796 799 1319 1592 1598 2638 3184 3196 3383 5276 6392 6766 9353 10552 12784 13532 18706 21104 22423 27064 37412 44846 54128 61993 74824 89692 123986 149648 159001 179384 247972 262481 318002 358768 495944 524962 636004 991888 1049924 1053881 1272008 2099848 2107762 2544016 4199696 4215524 4462177 8431048 8924354 12336607 16862096 17848708 24673214 35697416 49346428 71394832 98692856 197385712 209722319 419444638 838889276 1677778552 3355557104