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34317871344 = 243516354151
BaseRepresentation
bin11111111101100000…
…010010100011110000
310021120200010111100000
4133331200102203300
51030240333340334
623433155030000
72323300044021
oct377540224360
9107520114300
1034317871344
11136105a8749
126798b9b300
13330bb00b63
141937aa4c48
15d5cc3d299
hex7fd8128f0

34317871344 has 120 divisors (see below), whose sum is σ = 100212391552. Its totient is φ = 11368900800.

The previous prime is 34317871339. The next prime is 34317871381. The reversal of 34317871344 is 44317871343.

It is a happy number.

34317871344 is a `hidden beast` number, since 3 + 431 + 7 + 87 + 134 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34317871344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606669 + ... + 660819.

Almost surely, 234317871344 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 34317871344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50106195776).

34317871344 is an abundant number, since it is smaller than the sum of its proper divisors (65894520208).

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

34317871344 is a wasteful number, since it uses less digits than its factorization.

34317871344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54337 (or 54319 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

Subtracting 34317871344 from its reverse (44317871343), we obtain a palindrome (9999999999).

The spelling of 34317871344 in words is "thirty-four billion, three hundred seventeen million, eight hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 163 216 243 324 326 432 486 489 648 652 972 978 1296 1304 1467 1944 1956 2608 2934 3888 3912 4401 5868 7824 8802 11736 13203 17604 23472 26406 35208 39609 52812 54151 70416 79218 105624 108302 158436 162453 211248 216604 316872 324906 433208 487359 633744 649812 866416 974718 1299624 1462077 1949436 2599248 2924154 3898872 4386231 5848308 7797744 8772462 8826613 11696616 13158693 17544924 17653226 23393232 26317386 26479839 35089848 35306452 52634772 52959678 70179696 70612904 79439517 105269544 105919356 141225808 158879034 210539088 211838712 238318551 317758068 423677424 476637102 635516136 714955653 953274204 1271032272 1429911306 1906548408 2144866959 2859822612 3813096816 4289733918 5719645224 8579467836 11439290448 17158935672 34317871344