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342140305600 = 2652311687581
BaseRepresentation
bin1001111101010010010…
…01101100000011000000
31012201010100100100120101
410332221021230003000
521101200404234400
6421102130052144
733501361420222
oct4765111540300
91181110310511
10342140305600
11122112312645
125638611a054
1326357441992
14127b9a8c412
158d7702056a
hex4fa926c0c0

342140305600 has 84 divisors (see below), whose sum is σ = 844587224208. Its totient is φ = 136415872000.

The previous prime is 342140305597. The next prime is 342140305607. The reversal of 342140305600 is 6503041243.

It is a super-2 number, since 2×3421403056002 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (342140305607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153810 + ... + 841390.

It is an arithmetic number, because the mean of its divisors is an integer number (10054609812).

Almost surely, 2342140305600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342140305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422293612104).

342140305600 is an abundant number, since it is smaller than the sum of its proper divisors (502446918608).

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

342140305600 is a wasteful number, since it uses less digits than its factorization.

342140305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687914 (or 687899 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 342140305600 its reverse (6503041243), we get a palindrome (348643346843).

The spelling of 342140305600 in words is "three hundred forty-two billion, one hundred forty million, three hundred five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 311 320 400 622 800 1244 1555 1600 2488 3110 4976 6220 7775 9952 12440 15550 19904 24880 31100 49760 62200 99520 124400 248800 497600 687581 1375162 2750324 3437905 5500648 6875810 11001296 13751620 17189525 22002592 27503240 34379050 44005184 55006480 68758100 110012960 137516200 213837691 220025920 275032400 427675382 550064800 855350764 1069188455 1100129600 1710701528 2138376910 3421403056 4276753820 5345942275 6842806112 8553507640 10691884550 13685612224 17107015280 21383769100 34214030560 42767538200 68428061120 85535076400 171070152800 342140305600