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434086040 = 23579137369
BaseRepresentation
bin11001110111111…
…010000010011000
31010020210212002202
4121313322002120
51342111223130
6111023545332
713520445653
oct3167720230
91106725082
10434086040
112030372a3
1210145b248
136bc1735b
144191889a
1528198145
hex19dfa098

434086040 has 32 divisors (see below), whose sum is σ = 989064000. Its totient is φ = 171435264.

The previous prime is 434086039. The next prime is 434086049. The reversal of 434086040 is 40680434.

It is a junction number, because it is equal to n+sod(n) for n = 434085994 and 434086012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434086049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65525 + ... + 71844.

It is an arithmetic number, because the mean of its divisors is an integer number (30908250).

Almost surely, 2434086040 is an apocalyptic number.

434086040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434086040 is an abundant number, since it is smaller than the sum of its proper divisors (554977960).

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

434086040 is a wasteful number, since it uses less digits than its factorization.

434086040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137459 (or 137455 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 434086040 is about 20834.7315797444. The cubic root of 434086040 is about 757.1674570658.

The spelling of 434086040 in words is "four hundred thirty-four million, eighty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 137369 274738 549476 686845 1098952 1373690 2747380 5494760 10852151 21704302 43408604 54260755 86817208 108521510 217043020 434086040