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463780434 = 231317349759
BaseRepresentation
bin11011101001001…
…011101001010010
31012022200111011010
4123221023221102
51422211433214
6114004231350
714331032355
oct3351135122
91168614133
10463780434
11218879117
1210b39b556
13751131c0
144584829c
152aab1659
hex1ba4ba52

463780434 has 32 divisors (see below), whose sum is σ = 1057674240. Its totient is φ = 134307072.

The previous prime is 463780423. The next prime is 463780439. The reversal of 463780434 is 434087364.

It is a super-2 number, since 2×4637804342 = 430184581922456712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 463780392 and 463780401.

It is not an unprimeable number, because it can be changed into a prime (463780439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173554 + ... + 176205.

It is an arithmetic number, because the mean of its divisors is an integer number (33052320).

Almost surely, 2463780434 is an apocalyptic number.

463780434 is an abundant number, since it is smaller than the sum of its proper divisors (593893806).

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

463780434 is a wasteful number, since it uses less digits than its factorization.

463780434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349794.

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 463780434 is about 21535.5620776426. The cubic root of 463780434 is about 774.0531949365.

The spelling of 463780434 in words is "four hundred sixty-three million, seven hundred eighty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 349759 699518 1049277 2098554 4546867 5945903 9093734 11891806 13640601 17837709 27281202 35675418 77296739 154593478 231890217 463780434