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1342439640 = 2332510934211
BaseRepresentation
bin101000000000100…
…0000000011011000
310110120000222222200
41100001000003120
510222131032030
6341113050200
745160356123
oct12001000330
93416028880
101342439640
11629854853
123156b6960
131851770a9
14ca40b3ba
157ccc4d60
hex500400d8

1342439640 has 96 divisors (see below), whose sum is σ = 4403084400. Its totient is φ = 354689280.

The previous prime is 1342439639. The next prime is 1342439641. The reversal of 1342439640 is 469342431.

It is a happy number.

1342439640 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 4 + 3 + 9 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1342439639) and next prime (1342439641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1342439595 and 1342439604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342439641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22135 + ... + 56345.

Almost surely, 21342439640 is an apocalyptic number.

1342439640 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 1342439640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201542200).

1342439640 is an abundant number, since it is smaller than the sum of its proper divisors (3060644760).

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

1342439640 is a wasteful number, since it uses less digits than its factorization.

1342439640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34337 (or 34330 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1342439640 is about 36639.3182250980. The cubic root of 1342439640 is about 1103.1424302767.

The spelling of 1342439640 in words is "one billion, three hundred forty-two million, four hundred thirty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 436 545 654 872 981 1090 1308 1635 1962 2180 2616 3270 3924 4360 4905 6540 7848 9810 13080 19620 34211 39240 68422 102633 136844 171055 205266 273688 307899 342110 410532 513165 615798 684220 821064 1026330 1231596 1368440 1539495 2052660 2463192 3078990 3728999 4105320 6157980 7457998 11186997 12315960 14915996 18644995 22373994 29831992 33560991 37289990 44747988 55934985 67121982 74579980 89495976 111869970 134243964 149159960 167804955 223739940 268487928 335609910 447479880 671219820 1342439640