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34413041404 = 2275371326611
BaseRepresentation
bin100000000011001011…
…010101011011111100
310021211022012122010001
4200003023111123330
51030434214311104
623450434524044
72325534011530
oct400313253374
9107738178101
1034413041404
111365a2a0395
126804a36624
1333257430c1
141946599bc0
15d6628baa4
hex8032d56fc

34413041404 has 48 divisors (see below), whose sum is σ = 71112577536. Its totient is φ = 14266324800.

The previous prime is 34413041381. The next prime is 34413041407. The reversal of 34413041404 is 40414031443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34413041407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57942 + ... + 268669.

It is an arithmetic number, because the mean of its divisors is an integer number (1481512032).

Almost surely, 234413041404 is an apocalyptic number.

It is an amenable number.

34413041404 is an abundant number, since it is smaller than the sum of its proper divisors (36699536132).

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

34413041404 is a wasteful number, since it uses less digits than its factorization.

34413041404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326746 (or 326744 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34413041404 its reverse (40414031443), we get a palindrome (74827072847).

The spelling of 34413041404 in words is "thirty-four billion, four hundred thirteen million, forty-one thousand, four hundred four".

Divisors: 1 2 4 7 14 28 53 71 106 142 212 284 371 497 742 994 1484 1988 3763 7526 15052 26341 52682 105364 326611 653222 1306444 2286277 4572554 9145108 17310383 23189381 34620766 46378762 69241532 92757524 121172681 162325667 242345362 324651334 484690724 649302668 1229037193 2458074386 4916148772 8603260351 17206520702 34413041404