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1355830245 = 34572116211
BaseRepresentation
bin101000011010000…
…0101001111100101
310111111020022110000
41100310011033211
510234043031440
6342312051513
745412236600
oct12064051745
93444208400
101355830245
11636370370
1231a093b99
13187b85023
14cc0d5337
157e06c730
hex50d053e5

1355830245 has 120 divisors (see below), whose sum is σ = 3084779808. Its totient is φ = 563371200.

The previous prime is 1355830213. The next prime is 1355830261. The reversal of 1355830245 is 5420385531.

1355830245 is a `hidden beast` number, since 1 + 35 + 583 + 0 + 2 + 45 = 666.

It is not a de Polignac number, because 1355830245 - 25 = 1355830213 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 215190 + ... + 221400.

Almost surely, 21355830245 is an apocalyptic number.

1355830245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1355830245 is an abundant number, since it is smaller than the sum of its proper divisors (1728949563).

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

1355830245 is a wasteful number, since it uses less digits than its factorization.

1355830245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1355830245 is about 36821.6002503965. The cubic root of 1355830245 is about 1106.7981873717.

The spelling of 1355830245 in words is "one billion, three hundred fifty-five million, eight hundred thirty thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 81 99 105 135 147 165 189 231 245 297 315 385 405 441 495 539 567 693 735 891 945 1155 1323 1485 1617 2079 2205 2695 2835 3465 3969 4455 4851 6211 6237 6615 8085 10395 14553 18633 19845 24255 31055 31185 43477 43659 55899 68321 72765 93165 130431 167697 204963 217385 218295 279495 304339 341605 391293 478247 503091 614889 652155 838485 913017 1024815 1173879 1434741 1521695 1844667 1956465 2391235 2515455 2739051 3074445 3347729 3521637 4304223 4565085 5534001 5869395 7173705 8217153 9223335 10043187 12912669 13695255 16738645 17608185 21521115 24651459 27670005 30129561 38738007 41085765 50215935 64563345 90388683 123257295 150647805 193690035 271166049 451943415 1355830245