Search a number
-
+
342721612440 = 23325952004479
BaseRepresentation
bin1001111110010111100…
…11001100101010011000
31012202121212011210122100
410333023303030222120
521103343213044230
6421235533323400
733521650432314
oct4771363145230
91182555153570
10342721612440
11122390463019
1256508936560
132641a9c3c1c
1412832d6ab44
158dad099660
hex4fcbccca98

342721612440 has 48 divisors (see below), whose sum is σ = 1113845241600. Its totient is φ = 91392429888.

The previous prime is 342721612439. The next prime is 342721612463. The reversal of 342721612440 is 44216127243.

342721612440 is a `hidden beast` number, since 3 + 427 + 216 + 12 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342721612395 and 342721612404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 476001880 + ... + 476002599.

It is an arithmetic number, because the mean of its divisors is an integer number (23205109200).

Almost surely, 2342721612440 is an apocalyptic number.

342721612440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342721612440 is an abundant number, since it is smaller than the sum of its proper divisors (771123629160).

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

342721612440 is a wasteful number, since it uses less digits than its factorization.

342721612440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952004496 (or 952004489 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 342721612440 its reverse (44216127243), we get a palindrome (386937739683).

The spelling of 342721612440 in words is "three hundred forty-two billion, seven hundred twenty-one million, six hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 952004479 1904008958 2856013437 3808017916 4760022395 5712026874 7616035832 8568040311 9520044790 11424053748 14280067185 17136080622 19040089580 22848107496 28560134370 34272161244 38080179160 42840201555 57120268740 68544322488 85680403110 114240537480 171360806220 342721612440