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1342410870 = 235232973919
BaseRepresentation
bin101000000000011…
…1001000001110110
310110112222112112010
41100000321001312
510222124121440
6341112305050
745160206213
oct12000710166
93415875463
101342410870
11629835179
123156a2186
13185166c78
14ca400b0a
157ccbb580
hex50039076

1342410870 has 128 divisors (see below), whose sum is σ = 3529267200. Its totient is φ = 325721088.

The previous prime is 1342410869. The next prime is 1342410877. The reversal of 1342410870 is 780142431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342410877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1460271 + ... + 1461189.

It is an arithmetic number, because the mean of its divisors is an integer number (27572400).

Almost surely, 21342410870 is an apocalyptic number.

1342410870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342410870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764633600).

1342410870 is an abundant number, since it is smaller than the sum of its proper divisors (2186856330).

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

1342410870 is a wasteful number, since it uses less digits than its factorization.

1342410870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1342410870 is about 36638.9256119772. The cubic root of 1342410870 is about 1103.1345496904.

The spelling of 1342410870 in words is "one billion, three hundred forty-two million, four hundred ten thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 73 87 115 138 145 146 174 219 230 290 345 365 435 438 667 690 730 870 919 1095 1334 1679 1838 2001 2117 2190 2757 3335 3358 4002 4234 4595 5037 5514 6351 6670 8395 9190 10005 10074 10585 12702 13785 16790 20010 21137 21170 25185 26651 27570 31755 42274 48691 50370 53302 63411 63510 67087 79953 97382 105685 126822 133255 134174 146073 159906 201261 211370 243455 266510 292146 317055 335435 399765 402522 486910 612973 634110 670870 730365 799530 1006305 1225946 1460730 1543001 1838919 1945523 2012610 3064865 3086002 3677838 3891046 4629003 5836569 6129730 7715005 9194595 9258006 9727615 11673138 15430010 18389190 19455230 23145015 29182845 44747029 46290030 58365690 89494058 134241087 223735145 268482174 447470290 671205435 1342410870