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4034112104 = 23111710126699
BaseRepresentation
bin1111000001110011…
…1010101001101000
3101102010220010110102
43300130322221220
531230213041404
61504145004532
7201653246531
oct36034725150
911363803412
104034112104
111790173150
12947023748
134c3a062a9
142a3ab3688
1518926271e
hexf073aa68

4034112104 has 64 divisors (see below), whose sum is σ = 8823816000. Its totient is φ = 1708672000.

The previous prime is 4034112101. The next prime is 4034112149. The reversal of 4034112104 is 4012114304.

4034112104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4034112101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137747 + ... + 164445.

It is an arithmetic number, because the mean of its divisors is an integer number (137872125).

Almost surely, 24034112104 is an apocalyptic number.

4034112104 is a gapful number since it is divisible by the number (44) 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 4034112104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411908000).

4034112104 is an abundant number, since it is smaller than the sum of its proper divisors (4789703896).

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

4034112104 is a wasteful number, since it uses less digits than its factorization.

4034112104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26834 (or 26830 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4034112104 is about 63514.6605438461. The cubic root of 4034112104 is about 1591.9007507380.

Adding to 4034112104 its reverse (4012114304), we get a palindrome (8046226408).

The spelling of 4034112104 in words is "four billion, thirty-four million, one hundred twelve thousand, one hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 101 136 187 202 374 404 748 808 1111 1496 1717 2222 3434 4444 6868 8888 13736 18887 26699 37774 53398 75548 106796 151096 213592 293689 453883 587378 907766 1174756 1815532 2349512 2696599 3631064 4992713 5393198 9985426 10786396 19970852 21572792 29662589 39941704 45842183 59325178 91684366 118650356 183368732 237300712 366737464 504264013 1008528026 2017056052 4034112104