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434400132340 = 225191143158243
BaseRepresentation
bin1100101001001000100…
…00111111110011110100
31112112021002111011012101
412110210100333303310
524104122413213330
6531321034231444
743245561126016
oct6244420776364
91475232434171
10434400132340
11158256605a39
1270233885584
1331c6b4b1735
141704cb5c1b6
15b4769854ca
hex652443fcf4

434400132340 has 24 divisors (see below), whose sum is σ = 960252924960. Its totient is φ = 164614786848.

The previous prime is 434400132301. The next prime is 434400132343. The reversal of 434400132340 is 43231004434.

It is a junction number, because it is equal to n+sod(n) for n = 434400132299 and 434400132308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434400132343) 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, 571578742 + ... + 571579501.

It is an arithmetic number, because the mean of its divisors is an integer number (40010538540).

Almost surely, 2434400132340 is an apocalyptic number.

It is an amenable number.

434400132340 is an abundant number, since it is smaller than the sum of its proper divisors (525852792620).

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

434400132340 is a wasteful number, since it uses less digits than its factorization.

434400132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143158271 (or 1143158269 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 434400132340 its reverse (43231004434), we get a palindrome (477631136774).

The spelling of 434400132340 in words is "four hundred thirty-four billion, four hundred million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 1143158243 2286316486 4572632972 5715791215 11431582430 21720006617 22863164860 43440013234 86880026468 108600033085 217200066170 434400132340