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344240401104342 = 23331743276769081
BaseRepresentation
bin100111001000101011011011…
…0110100110011110111010110
31200010212001122102122201211000
41032101112312310303313112
5330110013320140314332
63220045505044324130
7132336356022316161
oct11621266664636726
91603761572581730
10344240401104342
119a75a597104a96
12327381199a3646
1311a10965ca6872
146101477cb0ad8
1529be7397c2b7c
hex13915b6d33dd6

344240401104342 has 64 divisors (see below), whose sum is σ = 790718196510720. Its totient is φ = 110895834974400.

The previous prime is 344240401104329. The next prime is 344240401104349. The reversal of 344240401104342 is 243401104042443.

344240401104342 is a `hidden beast` number, since 3 + 4 + 4 + 240 + 401 + 1 + 0 + 4 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 344240401104297 and 344240401104306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344240401104349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137140759 + ... + 139628322.

It is an arithmetic number, because the mean of its divisors is an integer number (12354971820480).

Almost surely, 2344240401104342 is an apocalyptic number.

344240401104342 is an abundant number, since it is smaller than the sum of its proper divisors (446477795406378).

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

344240401104342 is a wasteful number, since it uses less digits than its factorization.

344240401104342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276769866 (or 276769860 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 344240401104342 its reverse (243401104042443), we get a palindrome (587641505146785).

The spelling of 344240401104342 in words is "three hundred forty-four trillion, two hundred forty billion, four hundred one million, one hundred four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 743 837 1486 1674 2229 4458 6687 13374 20061 23033 40122 46066 69099 138198 207297 414594 621891 1243782 276769081 553538162 830307243 1660614486 2490921729 4981843458 7472765187 8579841511 14945530374 17159683022 25739524533 51479049066 77218573599 154437147198 205639427183 231655720797 411278854366 463311441594 616918281549 1233836563098 1850754844647 3701509689294 5552264533941 6374822242673 11104529067882 12749644485346 19124466728019 38248933456038 57373400184057 114746800368114 172120200552171 344240401104342