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34043340401 = 723133167709
BaseRepresentation
bin11111101101001001…
…000010011001110001
310020212112112212200022
4133231021002121301
51024210043343101
623350030533225
72313424422200
oct375511023161
9106775485608
1034043340401
111348a63a574
126721067215
133296c7c905
14190d441237
15d43ab0a1b
hex7ed242671

34043340401 has 24 divisors (see below), whose sum is σ = 41003009280. Its totient is φ = 28152986400.

The previous prime is 34043340389. The next prime is 34043340407. The reversal of 34043340401 is 10404334043.

It is not a de Polignac number, because 34043340401 - 214 = 34043324017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34043340407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468935 + ... + 536643.

It is an arithmetic number, because the mean of its divisors is an integer number (1708458720).

Almost surely, 234043340401 is an apocalyptic number.

34043340401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34043340401 is a deficient number, since it is larger than the sum of its proper divisors (6959668879).

34043340401 is a wasteful number, since it uses less digits than its factorization.

34043340401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68085 (or 68078 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34043340401 its reverse (10404334043), we get a palindrome (44447674444).

The spelling of 34043340401 in words is "thirty-four billion, forty-three million, three hundred forty thousand, four hundred one".

Divisors: 1 7 31 49 217 331 1519 2317 10261 16219 67709 71827 473963 502789 2098979 3317741 14692853 22411679 102849971 156881753 694762049 1098172271 4863334343 34043340401