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344247307404 = 223711132171031259
BaseRepresentation
bin1010000001001101011…
…11010000110010001100
31012220120012001010200020
411000212233100302030
521120004302314104
6422051154302140
733604524555510
oct5004657206214
91186505033606
10344247307404
11122aa36a3250
1256873887950
1326601b11800
141293983c140
158e4bebc2d9
hex5026bd0c8c

344247307404 has 576 divisors, whose sum is σ = 1160263802880. Its totient is φ = 76866416640.

The previous prime is 344247307399. The next prime is 344247307409. The reversal of 344247307404 is 404703742443.

It is an interprime number because it is at equal distance from previous prime (344247307399) and next prime (344247307409).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (344247307409) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 273428527 + ... + 273429785.

It is an arithmetic number, because the mean of its divisors is an integer number (2014346880).

Almost surely, 2344247307404 is an apocalyptic number.

344247307404 is a gapful number since it is divisible by the number (34) 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 344247307404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580131901440).

344247307404 is an abundant number, since it is smaller than the sum of its proper divisors (816016495476).

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

344247307404 is a wasteful number, since it uses less digits than its factorization.

344247307404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 42.

The spelling of 344247307404 in words is "three hundred forty-four billion, two hundred forty-seven million, three hundred seven thousand, four hundred four".