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1342373560 = 2351119211761
BaseRepresentation
bin101000000000010…
…1111111010111000
310110112220122100021
41100000233322320
510222121423220
6341111420224
745156662353
oct12000577270
93415818307
101342373560
1162980a140
12315684674
13185152ca8
14ca3d129a
157ccb04aa
hex5002feb8

1342373560 has 128 divisors (see below), whose sum is σ = 3489350400. Its totient is φ = 459648000.

The previous prime is 1342373537. The next prime is 1342373569. The reversal of 1342373560 is 653732431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342373569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1763580 + ... + 1764340.

It is an arithmetic number, because the mean of its divisors is an integer number (27260550).

Almost surely, 21342373560 is an apocalyptic number.

1342373560 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 1342373560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744675200).

1342373560 is an abundant number, since it is smaller than the sum of its proper divisors (2146976840).

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

1342373560 is a wasteful number, since it uses less digits than its factorization.

1342373560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 1342373560 is about 36638.4164504963. The cubic root of 1342373560 is about 1103.1243296869.

The spelling of 1342373560 in words is "one billion, three hundred forty-two million, three hundred seventy-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 211 220 380 418 422 440 760 761 836 844 1045 1055 1522 1672 1688 2090 2110 2321 3044 3805 4009 4180 4220 4642 6088 7610 8018 8360 8371 8440 9284 11605 14459 15220 16036 16742 18568 20045 23210 28918 30440 32072 33484 40090 41855 44099 46420 57836 66968 72295 80180 83710 88198 92840 115672 144590 159049 160360 160571 167420 176396 220495 289180 318098 321142 334840 352792 440990 578360 636196 642284 795245 802855 881980 1272392 1284568 1590490 1605710 1763960 1766281 3050849 3180980 3211420 3532562 6101698 6361960 6422840 7065124 8831405 12203396 14130248 15254245 17662810 24406792 30508490 33559339 35325620 61016980 67118678 70651240 122033960 134237356 167796695 268474712 335593390 671186780 1342373560