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3357423405 = 335721926713
BaseRepresentation
bin1100100000011110…
…0011011100101101
322122222120210002000
43020013203130231
523334000022110
61313053122513
7146125425300
oct31007433455
98588523060
103357423405
1114731a5996
12798489439
1341676958b
1423bc86b37
15149b471c0
hexc81e372d

3357423405 has 96 divisors (see below), whose sum is σ = 7308950400. Its totient is φ = 1453987584.

The previous prime is 3357423389. The next prime is 3357423437. The reversal of 3357423405 is 5043247533.

3357423405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3357423405 - 24 = 3357423389 is a prime.

It is a super-2 number, since 2×33574234052 = 22544583840883588050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3357423405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112329 + ... + 139041.

It is an arithmetic number, because the mean of its divisors is an integer number (76134900).

Almost surely, 23357423405 is an apocalyptic number.

3357423405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3357423405 is an abundant number, since it is smaller than the sum of its proper divisors (3951526995).

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

3357423405 is a wasteful number, since it uses less digits than its factorization.

3357423405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26760 (or 26747 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The square root of 3357423405 is about 57943.2774789276. The cubic root of 3357423405 is about 1497.3915265402.

The spelling of 3357423405 in words is "three billion, three hundred fifty-seven million, four hundred twenty-three thousand, four hundred five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 49 57 63 95 105 133 135 147 171 189 245 285 315 399 441 513 665 735 855 931 945 1197 1323 1995 2205 2565 2793 3591 4655 5985 6615 8379 13965 17955 25137 26713 41895 80139 125685 133565 186991 240417 400695 507547 560973 721251 934955 1202085 1308937 1522641 1682919 2537735 2804865 3552829 3606255 3926811 4567923 5048757 6544685 7613205 8414595 10658487 11780433 13703769 17764145 19634055 22839615 24869803 25243785 31975461 35341299 53292435 58902165 68518845 74609409 95926383 124349015 159877305 176706495 223828227 373047045 479631915 671484681 1119141135 3357423405