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34041031504 = 2423216724083
BaseRepresentation
bin11111101101000000…
…001110101101010000
310020212101012120110121
4133231000032231100
51024204001002004
623345505240024
72313365664544
oct375500165520
9106771176417
1034041031504
1113489302897
126720333014
1332966519bc
14190cddda24
15d437a6854
hex7ed00eb50

34041031504 has 60 divisors (see below), whose sum is σ = 69362498016. Its totient is φ = 16182333376.

The previous prime is 34041031483. The next prime is 34041031511. The reversal of 34041031504 is 40513014043.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1401447 + ... + 1425529.

Almost surely, 234041031504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34041031504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34681249008).

34041031504 is an abundant number, since it is smaller than the sum of its proper divisors (35321466512).

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

34041031504 is a wasteful number, since it uses less digits than its factorization.

34041031504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24304 (or 24275 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 34041031504 its reverse (40513014043), we get a palindrome (74554045547).

The spelling of 34041031504 in words is "thirty-four billion, forty-one million, thirty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 23 46 92 167 184 334 368 529 668 1058 1336 2116 2672 3841 4232 7682 8464 15364 24083 30728 48166 61456 88343 96332 176686 192664 353372 385328 553909 706744 1107818 1413488 2215636 4021861 4431272 8043722 8862544 12739907 16087444 25479814 32174888 50959628 64349776 92502803 101919256 185005606 203838512 370011212 740022424 1480044848 2127564469 4255128938 8510257876 17020515752 34041031504