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345349041597 = 32737732717489
BaseRepresentation
bin1010000011010000110…
…10000010110110111101
31020000101222011000212100
411001220122002312331
521124233323312342
6422352352255313
733644033263530
oct5015032026675
91200358130770
10345349041597
1112350959247a
1256b20841539
132674914b931
1412a01caca17
158eb3a96e4c
hex5068682dbd

345349041597 has 96 divisors (see below), whose sum is σ = 595798461440. Its totient is φ = 188654469120.

The previous prime is 345349041577. The next prime is 345349041599. The reversal of 345349041597 is 795140943543.

345349041597 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 4 + 9 + 0 + 41 + 597 = 666.

It is not a de Polignac number, because 345349041597 - 222 = 345344847293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345349041599) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46110429 + ... + 46117917.

Almost surely, 2345349041597 is an apocalyptic number.

345349041597 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

345349041597 is a deficient number, since it is larger than the sum of its proper divisors (250449419843).

345349041597 is a wasteful number, since it uses less digits than its factorization.

345349041597 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7883 (or 7880 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 345349041597 in words is "three hundred forty-five billion, three hundred forty-nine million, forty-one thousand, five hundred ninety-seven".

Divisors: 1 3 7 9 21 37 63 73 111 219 259 271 333 511 657 777 813 1533 1897 2331 2439 2701 4599 5691 7489 8103 10027 17073 18907 19783 22467 24309 30081 52423 56721 59349 67401 70189 90243 138481 157269 170163 178047 210567 277093 415443 471807 546697 631701 731971 831279 1246329 1640091 1939651 2029519 2195913 2493837 3826879 4920273 5123797 5818953 6088557 6587739 11480637 14206633 15371391 17456859 18265671 20227789 34441911 42619899 46114173 60683367 75092203 127859697 141594523 148154887 182050101 225276609 424783569 444464661 525645421 675829827 1037084209 1274350707 1333393983 1576936263 3111252627 4730808789 5481730819 9333757881 16445192457 38372115733 49335577371 115116347199 345349041597