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4314004134 = 2311472296073
BaseRepresentation
bin1000000010010001…
…00111101010100110
3102010122120010010220
410001020213222212
532313341113014
61552024025210
7211622300346
oct40110475246
912118503126
104314004134
111914163180
12a04902206
135399b378b
142ccd30d26
151a3aed6a9
hex101227aa6

4314004134 has 64 divisors (see below), whose sum is σ = 9656202240. Its totient is φ = 1273662720.

The previous prime is 4314004117. The next prime is 4314004141.

4314004134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×43140041342 = 37221263336338179912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707322 + ... + 713394.

It is an arithmetic number, because the mean of its divisors is an integer number (150878160).

Almost surely, 24314004134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314004134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828101120).

4314004134 is an abundant number, since it is smaller than the sum of its proper divisors (5342198106).

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

4314004134 is a wasteful number, since it uses less digits than its factorization.

4314004134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4314004134 is about 65681.0789649500. The cubic root of 4314004134 is about 1627.8967357083.

It can be divided in two parts, 431400 and 4134, that added together give a palindrome (435534).

The spelling of 4314004134 in words is "four billion, three hundred fourteen million, four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 229 282 458 517 687 1034 1374 1551 2519 3102 5038 6073 7557 10763 12146 15114 18219 21526 32289 36438 64578 66803 118393 133606 200409 236786 285431 355179 400818 570862 710358 856293 1390717 1712586 2781434 3139741 4172151 6279482 8344302 9419223 15297887 18838446 30595774 45893661 65363699 91787322 130727398 196091097 392182194 719000689 1438001378 2157002067 4314004134