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1342160000 = 275419883
BaseRepresentation
bin100111111111111…
…1011110010000000
310110112111210101122
41033333323302000
510222043110000
6341103051412
745155112626
oct11777736200
93415453348
101342160000
11629683745
123155a0b68
131850a9a1c
14ca377516
157cc6c085
hex4fffbc80

1342160000 has 160 divisors (see below), whose sum is σ = 3521060400. Its totient is φ = 508032000.

The previous prime is 1342159999. The next prime is 1342160033. The reversal of 1342160000 is 612431.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1519559 + ... + 1520441.

Almost surely, 21342160000 is an apocalyptic number.

1342160000 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 1342160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760530200).

1342160000 is an abundant number, since it is smaller than the sum of its proper divisors (2178900400).

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

1342160000 is an frugal number, since it uses more digits than its factorization.

1342160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1342160000 is about 36635.5019073030. The cubic root of 1342160000 is about 1103.0658274107.

Adding to 1342160000 its reverse (612431), we get a palindrome (1342772431).

The spelling of 1342160000 in words is "one billion, three hundred forty-two million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 304 320 380 400 475 500 608 625 640 760 800 883 950 1000 1216 1250 1520 1600 1766 1900 2000 2375 2432 2500 3040 3200 3532 3800 4000 4415 4750 5000 6080 7064 7600 8000 8830 9500 10000 11875 12160 14128 15200 16000 16777 17660 19000 20000 22075 23750 28256 30400 33554 35320 38000 40000 44150 47500 56512 60800 67108 70640 76000 80000 83885 88300 95000 110375 113024 134216 141280 152000 167770 176600 190000 220750 268432 282560 304000 335540 353200 380000 419425 441500 536864 551875 565120 671080 706400 760000 838850 883000 1073728 1103750 1342160 1412800 1520000 1677700 1766000 2097125 2147456 2207500 2684320 2825600 3355400 3532000 4194250 4415000 5368640 6710800 7064000 8388500 8830000 10485625 10737280 13421600 14128000 16777000 17660000 20971250 26843200 33554000 35320000 41942500 53686400 67108000 70640000 83885000 134216000 167770000 268432000 335540000 671080000 1342160000