Search a number
-
+
34530104424 = 233232921110223
BaseRepresentation
bin100000001010001001…
…111001010001101000
310022010110111001101110
4200022021321101220
51031204201320144
623510215550320
72331455021244
oct401211712150
9108113431343
1034530104424
111370a386592
12683808b3a0
133343a7c26a
141957d4d424
15d716b20b9
hex80a279468

34530104424 has 128 divisors (see below), whose sum is σ = 93635481600. Its totient is φ = 10578543360.

The previous prime is 34530104407. The next prime is 34530104437. The reversal of 34530104424 is 42440103543.

It is a super-2 number, since 2×345301044242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34530104391 and 34530104400.

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, 3372577 + ... + 3382799.

It is an arithmetic number, because the mean of its divisors is an integer number (731527200).

Almost surely, 234530104424 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 34530104424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46817740800).

34530104424 is an abundant number, since it is smaller than the sum of its proper divisors (59105377176).

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

34530104424 is a wasteful number, since it uses less digits than its factorization.

34530104424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10495 (or 10491 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34530104424 its reverse (42440103543), we get a palindrome (76970207967).

The spelling of 34530104424 in words is "thirty-four billion, five hundred thirty million, one hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 211 232 276 348 422 552 633 667 696 844 1266 1334 1688 2001 2532 2668 4002 4853 5064 5336 6119 8004 9706 10223 12238 14559 16008 18357 19412 20446 24476 29118 30669 36714 38824 40892 48952 58236 61338 73428 81784 116472 122676 140737 146856 235129 245352 281474 296467 422211 470258 562948 592934 705387 844422 889401 940516 1125896 1185868 1410774 1688844 1778802 1881032 2157053 2371736 2821548 3377688 3557604 4314106 5643096 6471159 6818741 7115208 8628212 12942318 13637482 17256424 20456223 25884636 27274964 40912446 49612219 51769272 54549928 62554537 81824892 99224438 125109074 148836657 163649784 187663611 198448876 250218148 297673314 375327222 396897752 500436296 595346628 750654444 1190693256 1438754351 1501308888 2877508702 4316263053 5755017404 8632526106 11510034808 17265052212 34530104424