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34401067407 = 3271095009621
BaseRepresentation
bin100000000010011101…
…101010000110001111
310021210110200021212200
4200002131222012033
51030423133124112
623445330132543
72325330151110
oct400235520617
9107713607780
1034401067407
1113653562123
126800a21153
13332310cbb5
141944b60207
15d651c3cdc
hex80276a18f

34401067407 has 24 divisors (see below), whose sum is σ = 57310075680. Its totient is φ = 19477402560.

The previous prime is 34401067397. The next prime is 34401067411. The reversal of 34401067407 is 70476010443.

It is a happy number.

It is not a de Polignac number, because 34401067407 - 24 = 34401067391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401067457) 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, 2497944 + ... + 2511677.

It is an arithmetic number, because the mean of its divisors is an integer number (2387919820).

Almost surely, 234401067407 is an apocalyptic number.

34401067407 is a deficient number, since it is larger than the sum of its proper divisors (22909008273).

34401067407 is a wasteful number, since it uses less digits than its factorization.

34401067407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009743 (or 5009740 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 34401067407 in words is "thirty-four billion, four hundred one million, sixty-seven thousand, four hundred seven".

Divisors: 1 3 7 9 21 63 109 327 763 981 2289 6867 5009621 15028863 35067347 45086589 105202041 315606123 546048689 1638146067 3822340823 4914438201 11467022469 34401067407