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3455031320 = 235137618731
BaseRepresentation
bin1100110111101111…
…1001100000011000
322220210020202221222
43031323321200120
524033442000240
61330501151212
7151422165416
oct31573714030
98823222858
103455031320
111513303194
128050bb508
13430a53340
1424ac142b6
151534c7eb5
hexcdef9818

3455031320 has 64 divisors (see below), whose sum is σ = 8383767840. Its totient is φ = 1273881600.

The previous prime is 3455031299. The next prime is 3455031343. The reversal of 3455031320 is 231305543.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3455031320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391355 + ... + 400085.

Almost surely, 23455031320 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 3455031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191883920).

3455031320 is an abundant number, since it is smaller than the sum of its proper divisors (4928736520).

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

3455031320 is a wasteful number, since it uses less digits than its factorization.

3455031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 3455031320 is about 58779.5144586956. The cubic root of 3455031320 is about 1511.7639896924.

Adding to 3455031320 its reverse (231305543), we get a palindrome (3686336863).

The spelling of 3455031320 in words is "three billion, four hundred fifty-five million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 761 1522 3044 3805 6088 7610 8731 9893 15220 17462 19786 30440 34924 39572 43655 49465 69848 79144 87310 98930 113503 174620 197860 227006 349240 395720 454012 567515 908024 1135030 2270060 4540120 6644291 13288582 26577164 33221455 53154328 66442910 86375783 132885820 172751566 265771640 345503132 431878915 691006264 863757830 1727515660 3455031320