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34724144103 = 31114946115319
BaseRepresentation
bin100000010101101110…
…000110001111100111
310022121222121021210020
4200111232012033213
51032103340102403
623541350530223
72336332232505
oct402556061747
9108558537706
1034724144103
11137a9968460
126891066973
13337502a63c
141975a1d675
15d83740453
hex815b863e7

34724144103 has 32 divisors (see below), whose sum is σ = 50960448000. Its totient is φ = 20856988800.

The previous prime is 34724144047. The next prime is 34724144167. The reversal of 34724144103 is 30144142743.

34724144103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34724144103 - 214 = 34724127719 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34724144183) 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, 2259078 + ... + 2274396.

It is an arithmetic number, because the mean of its divisors is an integer number (1592514000).

Almost surely, 234724144103 is an apocalyptic number.

34724144103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34724144103 is a deficient number, since it is larger than the sum of its proper divisors (16236303897).

34724144103 is a wasteful number, since it uses less digits than its factorization.

34724144103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15943.

The product of its (nonzero) digits is 32256, while the sum is 33.

Adding to 34724144103 its reverse (30144142743), we get a palindrome (64868286846).

The spelling of 34724144103 in words is "thirty-four billion, seven hundred twenty-four million, one hundred forty-four thousand, one hundred three".

Divisors: 1 3 11 33 149 447 461 1383 1639 4917 5071 15213 15319 45957 68689 168509 206067 505527 755579 2266737 2282531 6847593 7062059 21186177 25107841 75323523 77682649 233047947 1052246791 3156740373 11574714701 34724144103