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34421644341 = 3274196713781
BaseRepresentation
bin100000000011101100…
…001001110000110101
310021211220101201010100
4200003230021300311
51030443420104331
623451343144313
72326000102140
oct400354116065
9107756351110
1034421644341
1113664136957
1268078a5099
133327465ab6
141947799057
15d66ddaae6
hex803b09c35

34421644341 has 48 divisors (see below), whose sum is σ = 58273383168. Its totient is φ = 19168531200.

The previous prime is 34421644333. The next prime is 34421644349. The reversal of 34421644341 is 14344612443.

34421644341 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 1 + 644 + 3 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (34421644333) and next prime (34421644349).

It is not a de Polignac number, because 34421644341 - 23 = 34421644333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34421644296 and 34421644305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34421644349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2490871 + ... + 2504651.

It is an arithmetic number, because the mean of its divisors is an integer number (1214028816).

Almost surely, 234421644341 is an apocalyptic number.

It is an amenable number.

34421644341 is a deficient number, since it is larger than the sum of its proper divisors (23851738827).

34421644341 is a wasteful number, since it uses less digits than its factorization.

34421644341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802 (or 14799 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 34421644341 in words is "thirty-four billion, four hundred twenty-one million, six hundred forty-four thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 967 2583 2901 6769 8703 13781 20307 39647 41343 60921 96467 118941 124029 277529 289401 356823 565021 832587 868203 1695063 2497761 3955147 5085189 11865441 13326227 35596323 39978681 93283589 119936043 279850767 546375307 839552301 1639125921 3824627149 4917377763 11473881447 34421644341