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34324230320 = 2452341394507
BaseRepresentation
bin11111111101111000…
…100011000010110000
310021121010002120012122
4133331320203002300
51030244000332240
623433543213412
72323405100222
oct377570430260
9107533076178
1034324230320
11136141512a6
12679b147268
133310219373
14193887c412
15d5d5974b5
hex7fde230b0

34324230320 has 80 divisors (see below), whose sum is σ = 83312167680. Its totient is φ = 13126662912.

The previous prime is 34324230319. The next prime is 34324230371. The reversal of 34324230320 is 2303242343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 34324230320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7613507 + ... + 7618013.

It is an arithmetic number, because the mean of its divisors is an integer number (1041402096).

Almost surely, 234324230320 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 34324230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41656083840).

34324230320 is an abundant number, since it is smaller than the sum of its proper divisors (48987937360).

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

34324230320 is a wasteful number, since it uses less digits than its factorization.

34324230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 34324230320 its reverse (2303242343), we get a palindrome (36627472663).

The spelling of 34324230320 in words is "thirty-four billion, three hundred twenty-four million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 4139 4507 8278 9014 16556 18028 20695 22535 33112 36056 41390 45070 66224 72112 82780 90140 95197 103661 165560 180280 190394 207322 331120 360560 380788 414644 475985 518305 761576 829288 951970 1036610 1523152 1658576 1903940 2073220 3807880 4146440 7615760 8292880 18654473 37308946 74617892 93272365 149235784 186544730 298471568 373089460 429052879 746178920 858105758 1492357840 1716211516 2145264395 3432423032 4290528790 6864846064 8581057580 17162115160 34324230320