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463406034 = 23731317321
BaseRepresentation
bin11011100111110…
…000001111010010
31012021222110120110
4123213300033102
51422112443114
6113552222150
714324613000
oct3347601722
91167873513
10463406034
112186428a3
1210b23a956
1375011970
144578ba70
152aa3a759
hex1b9f03d2

463406034 has 64 divisors (see below), whose sum is σ = 1164038400. Its totient is φ = 122209920.

The previous prime is 463406017. The next prime is 463406057. The reversal of 463406034 is 430604364.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 463405992 and 463406010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18094 + ... + 35414.

It is an arithmetic number, because the mean of its divisors is an integer number (18188100).

Almost surely, 2463406034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463406034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582019200).

463406034 is an abundant number, since it is smaller than the sum of its proper divisors (700632366).

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

463406034 is a wasteful number, since it uses less digits than its factorization.

463406034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17360 (or 17346 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 463406034 is about 21526.8677238469. The cubic root of 463406034 is about 773.8448466790.

The spelling of 463406034 in words is "four hundred sixty-three million, four hundred six thousand, thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 546 637 686 1029 1274 1911 2058 3822 4459 8918 13377 17321 26754 34642 51963 103926 121247 225173 242494 363741 450346 675519 727482 848729 1351038 1576211 1697458 2546187 3152422 4728633 5092374 5941103 9457266 11033477 11882206 17823309 22066954 33100431 35646618 66200862 77234339 154468678 231703017 463406034