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34423341344 = 2571740122543
BaseRepresentation
bin100000000011110010…
…101000000100100000
310021212000120220222022
4200003302220010200
51030444333410334
623451443401012
72326020400520
oct400362500440
9107760526868
1034423341344
1113665095937
126808383168
13332790b342
141947abb680
15d6712382e
hex803ca8120

34423341344 has 96 divisors (see below), whose sum is σ = 82216705536. Its totient is φ = 13849804800.

The previous prime is 34423341313. The next prime is 34423341347. The reversal of 34423341344 is 44314332443.

It is not an unprimeable number, because it can be changed into a prime (34423341347) 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, 1515737 + ... + 1538279.

It is an arithmetic number, because the mean of its divisors is an integer number (856424016).

Almost surely, 234423341344 is an apocalyptic number.

34423341344 is a gapful number since it is divisible by the number (34) 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 34423341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41108352768).

34423341344 is an abundant number, since it is smaller than the sum of its proper divisors (47793364192).

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

34423341344 is a wasteful number, since it uses less digits than its factorization.

34423341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22978 (or 22970 counting only the distinct ones).

The product of its digits is 165888, while the sum is 35.

Adding to 34423341344 its reverse (44314332443), we get a palindrome (78737673787).

The spelling of 34423341344 in words is "thirty-four billion, four hundred twenty-three million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 401 476 544 802 952 1604 1904 2807 3208 3808 5614 6416 6817 11228 12832 13634 22456 22543 27268 44912 45086 47719 54536 89824 90172 95438 109072 157801 180344 190876 218144 315602 360688 381752 383231 631204 721376 763504 766462 1262408 1527008 1532924 2524816 2682617 3065848 5049632 5365234 6131696 9039743 10730468 12263392 18079486 21460936 36158972 42921872 63278201 72317944 85843744 126556402 144635888 153675631 253112804 289271776 307351262 506225608 614702524 1012451216 1075729417 1229405048 2024902432 2151458834 2458810096 4302917668 4917620192 8605835336 17211670672 34423341344