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1342663300 = 2252111677309
BaseRepresentation
bin101000000000111…
…0110101010000100
310110120110100210101
41100001312222010
510222210211200
6341121533444
745162310156
oct12001665204
93416410711
101342663300
116299978a0
123157a4284
13185224b34
14ca468ad6
157cd1b26a
hex50076a84

1342663300 has 72 divisors (see below), whose sum is σ = 3197920320. Its totient is φ = 485251200.

The previous prime is 1342663279. The next prime is 1342663307. The reversal of 1342663300 is 33662431.

It is not an unprimeable number, because it can be changed into a prime (1342663307) 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 23 ways as a sum of consecutive naturals, for example, 180046 + ... + 187354.

It is an arithmetic number, because the mean of its divisors is an integer number (44415560).

Almost surely, 21342663300 is an apocalyptic number.

1342663300 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 1342663300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598960160).

1342663300 is an abundant number, since it is smaller than the sum of its proper divisors (1855257020).

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

1342663300 is a wasteful number, since it uses less digits than its factorization.

1342663300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7501 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 1342663300 is about 36642.3702835938. The cubic root of 1342663300 is about 1103.2036906685.

The spelling of 1342663300 in words is "one billion, three hundred forty-two million, six hundred sixty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 167 220 275 334 550 668 835 1100 1670 1837 3340 3674 4175 7309 7348 8350 9185 14618 16700 18370 29236 36545 36740 45925 73090 80399 91850 146180 160798 182725 183700 321596 365450 401995 730900 803990 1220603 1607980 2009975 2441206 4019950 4882412 6103015 8039900 12206030 13426633 24412060 26853266 30515075 53706532 61030150 67133165 122060300 134266330 268532660 335665825 671331650 1342663300