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34241022420224 = 28173773144473
BaseRepresentation
bin1111100100100010110111…
…11110100110010100000000
311111020102001201121000021212
413302101123332212110000
513442001103214421344
6200454035240105252
710132555312230164
oct762213376462400
9144212051530255
1034241022420224
11aa01599549354
123a10181165228
131614bb7396489
148653baa80ca4
153e5a4a84e79e
hex1f245bfa6500

34241022420224 has 36 divisors (see below), whose sum is σ = 68743367761236. Its totient is φ = 17021548695552.

The previous prime is 34241022420223. The next prime is 34241022420229. The reversal of 34241022420224 is 42202422014243.

It can be written as a sum of positive squares in 2 ways, for example, as 22041147040000 + 12199875380224 = 4694800^2 + 3492832^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34241022420223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 386527949 + ... + 386616524.

Almost surely, 234241022420224 is an apocalyptic number.

It is an amenable number.

34241022420224 is an abundant number, since it is smaller than the sum of its proper divisors (34502345341012).

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

34241022420224 is an equidigital number, since it uses as much as digits as its factorization.

34241022420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773144662 (or 773144648 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 34241022420224 its reverse (42202422014243), we get a palindrome (76443444434467).

The spelling of 34241022420224 in words is "thirty-four trillion, two hundred forty-one billion, twenty-two million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 692 1384 2768 5536 11072 22144 44288 773144473 1546288946 3092577892 6185155784 12370311568 24740623136 49481246272 98962492544 133753993829 197924985088 267507987658 535015975316 1070031950632 2140063901264 4280127802528 8560255605056 17120511210112 34241022420224