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34434341004 = 2237439533317
BaseRepresentation
bin100000000100011100…
…100101100010001100
310021212210021202200010
4200010130211202030
51031010142403004
623452515233220
72326213032510
oct400434454214
9107783252603
1034434341004
1113670319068
12680bba8810
133329c8cc0b
141949342140
15d68097a89
hex80472588c

34434341004 has 48 divisors (see below), whose sum is σ = 93960382208. Its totient is φ = 9609582528.

The previous prime is 34434340981. The next prime is 34434341009. The reversal of 34434341004 is 40014343443.

It is not an unprimeable number, because it can be changed into a prime (34434341009) 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, 4763047 + ... + 4770270.

Almost surely, 234434341004 is an apocalyptic number.

It is an amenable number.

34434341004 is an abundant number, since it is smaller than the sum of its proper divisors (59526041204).

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

34434341004 is a wasteful number, since it uses less digits than its factorization.

34434341004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9533374 (or 9533372 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34434341004 its reverse (40014343443), we get a palindrome (74448684447).

The spelling of 34434341004 in words is "thirty-four billion, four hundred thirty-four million, three hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 9533317 19066634 28599951 38133268 57199902 66733219 114399804 133466438 200199657 266932876 400399314 409932631 800798628 819865262 1229797893 1639730524 2459595786 2869528417 4919191572 5739056834 8608585251 11478113668 17217170502 34434341004