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8354338461 = 34723640621
BaseRepresentation
bin1111100011111010…
…10001011010011101
3210120020011100220000
413301331101122131
5114102202312321
63500554244513
7414012463620
oct76175213235
923506140800
108354338461
1135a7896157
121751a26739
13a31a87c51
14593783db7
1533d68e826
hex1f1f5169d

8354338461 has 40 divisors (see below), whose sum is σ = 14882930304. Its totient is φ = 4566339360.

The previous prime is 8354338457. The next prime is 8354338481. The reversal of 8354338461 is 1648334538.

8354338461 is a `hidden beast` number, since 83 + 5 + 433 + 84 + 61 = 666.

It is not a de Polignac number, because 8354338461 - 22 = 8354338457 is a prime.

It is a super-2 number, since 2×83543384612 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8354338411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 307270 + ... + 333351.

Almost surely, 28354338461 is an apocalyptic number.

8354338461 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8354338461 is a deficient number, since it is larger than the sum of its proper divisors (6528591843).

8354338461 is a wasteful number, since it uses less digits than its factorization.

8354338461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640663 (or 640654 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 8354338461 is about 91402.0703321320. The cubic root of 8354338461 is about 2029.1026683515.

The spelling of 8354338461 in words is "eight billion, three hundred fifty-four million, three hundred thirty-eight thousand, four hundred sixty-one".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 483 567 621 1449 1863 4347 13041 640621 1921863 4484347 5765589 13453041 14734283 17296767 40359123 44202849 51890301 103139981 121077369 132608547 309419943 363232107 397825641 928259829 1193476923 2784779487 8354338461