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34360739808832 = 2623329889417
BaseRepresentation
bin1111101000000001110111…
…01100001100011001000000
311111122212002000222110211201
413310000323230030121000
514000431243342340312
6201025034515150544
710144324110234523
oct764007354143100
9144585060873751
1034360739808832
11aa48342926338
123a2b4122a5454
131623285b60668
1486b0d665cbba
153e8c05acd557
hex1f403bb0c640

34360739808832 has 42 divisors (see below), whose sum is σ = 68478493676978. Its totient is φ = 17106632681472.

The previous prime is 34360739808827. The next prime is 34360739808839. The reversal of 34360739808832 is 23880893706343.

It can be written as a sum of positive squares in 3 ways, for example, as 3109240996416 + 31251498812416 = 1763304^2 + 5590304^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (34360739808839) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1470213 + ... + 8419204.

Almost surely, 234360739808832 is an apocalyptic number.

34360739808832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34360739808832 is a deficient number, since it is larger than the sum of its proper divisors (34117753868146).

34360739808832 is an frugal number, since it uses more digits than its factorization.

34360739808832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889895 (or 9889652 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 64.

The spelling of 34360739808832 in words is "thirty-four trillion, three hundred sixty billion, seven hundred thirty-nine million, eight hundred eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 233 466 932 1864 3728 7456 14912 54289 108578 217156 434312 868624 1737248 3474496 9889417 19778834 39557668 79115336 158230672 316461344 632922688 2304234161 4608468322 9216936644 18433873288 36867746576 73735493152 147470986304 536886559513 1073773119026 2147546238052 4295092476104 8590184952208 17180369904416 34360739808832