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34400343043304 = 2372621234373079
BaseRepresentation
bin1111101001001011101000…
…01110100010110011101000
311111210122022001110020100122
413310211310032202303220
514002103400304341204
6201055144402022412
710150225366204520
oct764456416426350
9144718261406318
1034400343043304
11aa63115918587
123a37025347a08
131626c27964904
1486cdb2268680
153e9c728400be
hex1f49743a2ce8

34400343043304 has 32 divisors (see below), whose sum is σ = 73743145891200. Its totient is φ = 14737379144640.

The previous prime is 34400343043301. The next prime is 34400343043307. The reversal of 34400343043304 is 40334034300443.

It is an interprime number because it is at equal distance from previous prime (34400343043301) and next prime (34400343043307).

It is not an unprimeable number, because it can be changed into a prime (34400343043301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117039764 + ... + 117333315.

It is an arithmetic number, because the mean of its divisors is an integer number (2304473309100).

Almost surely, 234400343043304 is an apocalyptic number.

It is an amenable number.

34400343043304 is an abundant number, since it is smaller than the sum of its proper divisors (39342802847896).

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

34400343043304 is a wasteful number, since it uses less digits than its factorization.

34400343043304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234375713 (or 234375709 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 35.

Adding to 34400343043304 its reverse (40334034300443), we get a palindrome (74734377343747).

The spelling of 34400343043304 in words is "thirty-four trillion, four hundred billion, three hundred forty-three million, forty-three thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 56 2621 5242 10484 18347 20968 36694 73388 146776 234373079 468746158 937492316 1640611553 1874984632 3281223106 6562446212 13124892424 614291840059 1228583680118 2457167360236 4300042880413 4914334720472 8600085760826 17200171521652 34400343043304