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1345905640 = 235175933547
BaseRepresentation
bin101000000111000…
…1110001111101000
310110210120002110001
41100032032033220
510224022440030
6341315232344
745232003102
oct12016161750
93423502401
101345905640
11630801912
123168a86b4
13185abb891
14caa70572
157d25bcca
hex5038e3e8

1345905640 has 64 divisors (see below), whose sum is σ = 3260865600. Its totient is φ = 498091008.

The previous prime is 1345905629. The next prime is 1345905661. The reversal of 1345905640 is 465095431.

It is a super-2 number, since 2×13459056402 = 3622923983567619200, 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 1345905640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23347 + ... + 56893.

It is an arithmetic number, because the mean of its divisors is an integer number (50951025).

Almost surely, 21345905640 is an apocalyptic number.

1345905640 is a gapful number since it is divisible by the number (10) 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 1345905640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630432800).

1345905640 is an abundant number, since it is smaller than the sum of its proper divisors (1914959960).

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

1345905640 is a wasteful number, since it uses less digits than its factorization.

1345905640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33634 (or 33630 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 1345905640 is about 36686.5866496190. The cubic root of 1345905640 is about 1104.0910032279.

The spelling of 1345905640 in words is "one billion, three hundred forty-five million, nine hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 59 68 85 118 136 170 236 295 340 472 590 680 1003 1180 2006 2360 4012 5015 8024 10030 20060 33547 40120 67094 134188 167735 268376 335470 570299 670940 1140598 1341880 1979273 2281196 2851495 3958546 4562392 5702990 7917092 9896365 11405980 15834184 19792730 22811960 33647641 39585460 67295282 79170920 134590564 168238205 269181128 336476410 672952820 1345905640