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34440434340 = 22351371621893
BaseRepresentation
bin100000000100110011…
…110101001010100100
310021220012202100011020
4200010303311022210
51031013222344330
623453254011140
72326315601364
oct400463651244
9107805670136
1034440434340
1113673800084
126812046ab0
13332b314540
14194a08a9a4
15d6889d210
hex804cf52a4

34440434340 has 96 divisors (see below), whose sum is σ = 105314017536. Its totient is φ = 8358228480.

The previous prime is 34440434333. The next prime is 34440434377. The reversal of 34440434340 is 4343404443.

It is a super-2 number, since 2×344404343402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255567 + ... + 366326.

It is an arithmetic number, because the mean of its divisors is an integer number (1097021016).

Almost surely, 234440434340 is an apocalyptic number.

34440434340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34440434340 is an abundant number, since it is smaller than the sum of its proper divisors (70873583196).

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

34440434340 is a wasteful number, since it uses less digits than its factorization.

34440434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621989 (or 621987 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 34440434340 its reverse (4343404443), we get a palindrome (38783838783).

The spelling of 34440434340 in words is "thirty-four billion, four hundred forty million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 71 78 130 142 156 195 213 260 284 355 390 426 710 780 852 923 1065 1420 1846 2130 2769 3692 4260 4615 5538 9230 11076 13845 18460 27690 55380 621893 1243786 1865679 2487572 3109465 3731358 6218930 7462716 8084609 9328395 12437860 16169218 18656790 24253827 32338436 37313580 40423045 44154403 48507654 80846090 88308806 97015308 121269135 132463209 161692180 176617612 220772015 242538270 264926418 441544030 485076540 529852836 574007239 662316045 883088060 1148014478 1324632090 1722021717 2296028956 2649264180 2870036195 3444043434 5740072390 6888086868 8610108585 11480144780 17220217170 34440434340