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342445351400 = 235217587171583
BaseRepresentation
bin1001111101110110101…
…01010110000111101000
31012201220121100021201222
410332323111112013220
521102312002221100
6421152304201212
733512054313455
oct4767325260750
91181817307658
10342445351400
11122259523009
1256450309208
13263a56b8359
14128083b682c
158d93bc9485
hex4fbb5561e8

342445351400 has 96 divisors (see below), whose sum is σ = 844460951040. Its totient is φ = 128700226560.

The previous prime is 342445351361. The next prime is 342445351421. The reversal of 342445351400 is 4153544243.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1910009 + ... + 2081591.

It is an arithmetic number, because the mean of its divisors is an integer number (8796468240).

Almost surely, 2342445351400 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 342445351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422230475520).

342445351400 is an abundant number, since it is smaller than the sum of its proper divisors (502015599640).

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

342445351400 is a wasteful number, since it uses less digits than its factorization.

342445351400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172203 (or 172194 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 342445351400 its reverse (4153544243), we get a palindrome (346598895643).

The spelling of 342445351400 in words is "three hundred forty-two billion, four hundred forty-five million, three hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 587 680 850 1174 1700 2348 2935 3400 4696 5870 9979 11740 14675 19958 23480 29350 39916 49895 58700 79832 99790 117400 171583 199580 249475 343166 399160 498950 686332 857915 997900 1372664 1715830 1995800 2916911 3431660 4289575 5833822 6863320 8579150 11667644 14584555 17158300 23335288 29169110 34316600 58338220 72922775 100719221 116676440 145845550 201438442 291691100 402876884 503596105 583382200 805753768 1007192210 1712226757 2014384420 2517980525 3424453514 4028768840 5035961050 6848907028 8561133785 10071922100 13697814056 17122267570 20143844200 34244535140 42805668925 68489070280 85611337850 171222675700 342445351400