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34441314424 = 23111723022269
BaseRepresentation
bin100000000100110111…
…001100000001111000
310021220021102001101221
4200010313030001320
51031013434030144
623453324521424
72326326225256
oct400467140170
9107807361357
1034441314424
1113674251320
1268123b0274
13332b561cba
14194a2395d6
15d689c3d84
hex804dcc078

34441314424 has 32 divisors (see below), whose sum is σ = 74592154800. Its totient is φ = 14734251520.

The previous prime is 34441314361. The next prime is 34441314451. The reversal of 34441314424 is 42441314443.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 34441314424.

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 7 ways as a sum of consecutive naturals, for example, 11509639 + ... + 11512630.

Almost surely, 234441314424 is an apocalyptic number.

34441314424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34441314424 is an abundant number, since it is smaller than the sum of its proper divisors (40150840376).

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

34441314424 is a wasteful number, since it uses less digits than its factorization.

34441314424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23022303 (or 23022299 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

Adding to 34441314424 its reverse (42441314443), we get a palindrome (76882628867).

The spelling of 34441314424 in words is "thirty-four billion, four hundred forty-one million, three hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 23022269 46044538 92089076 184178152 253244959 391378573 506489918 782757146 1012979836 1565514292 2025959672 3131028584 4305164303 8610328606 17220657212 34441314424