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1342642420 = 2257471071907
BaseRepresentation
bin101000000000111…
…0001100011110100
310110120102022011001
41100001301203310
510222204024140
6341121253044
745162162250
oct12001614364
93416368131
101342642420
11629983139
12315794184
13185218492
14ca461260
157cd14e9a
hex500718f4

1342642420 has 96 divisors (see below), whose sum is σ = 3323400192. Its totient is φ = 446095488.

The previous prime is 1342642387. The next prime is 1342642451. The reversal of 1342642420 is 242462431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703107 + ... + 705013.

It is an arithmetic number, because the mean of its divisors is an integer number (34618752).

Almost surely, 21342642420 is an apocalyptic number.

1342642420 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 1342642420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661700096).

1342642420 is an abundant number, since it is smaller than the sum of its proper divisors (1980757772).

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

1342642420 is a wasteful number, since it uses less digits than its factorization.

1342642420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 1342642420 is about 36642.0853664199. The cubic root of 1342642420 is about 1103.1979719321.

The spelling of 1342642420 in words is "one billion, three hundred forty-two million, six hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 107 140 188 214 235 329 428 470 535 658 749 940 1070 1316 1498 1645 1907 2140 2996 3290 3745 3814 5029 6580 7490 7628 9535 10058 13349 14980 19070 20116 25145 26698 35203 38140 50290 53396 66745 70406 89629 100580 133490 140812 176015 179258 204049 266980 352030 358516 408098 448145 627403 704060 816196 896290 1020245 1254806 1428343 1792580 2040490 2509612 2856686 3137015 4080980 5713372 6274030 7141715 9590303 12548060 14283430 19180606 28566860 38361212 47951515 67132121 95903030 134264242 191806060 268528484 335660605 671321210 1342642420