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3427140024 = 23337111722331
BaseRepresentation
bin1100110001000110…
…0000000110111000
322211211202202022000
43030101200012320
524004321440044
61324023301000
7150633131610
oct31421400670
98754682260
103427140024
1114a9593030
127b78aa760
13428039109
14247233a40
15150d18d69
hexcc4601b8

3427140024 has 768 divisors, whose sum is σ = 13580697600. Its totient is φ = 775526400.

The previous prime is 3427139971. The next prime is 3427140061. The reversal of 3427140024 is 4200417243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3427140024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110552889 + ... + 110552919.

It is an arithmetic number, because the mean of its divisors is an integer number (17683200).

Almost surely, 23427140024 is an apocalyptic number.

3427140024 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 3427140024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790348800).

3427140024 is an abundant number, since it is smaller than the sum of its proper divisors (10153557576).

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

3427140024 is a wasteful number, since it uses less digits than its factorization.

3427140024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3427140024 is about 58541.7801574226. The cubic root of 3427140024 is about 1507.6850078625.

Adding to 3427140024 its reverse (4200417243), we get a palindrome (7627557267).

The spelling of 3427140024 in words is "three billion, four hundred twenty-seven million, one hundred forty thousand, twenty-four".