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432112040334 = 23313615544217
BaseRepresentation
bin1100100100110111110…
…00100111100110001110
31112022100122001001001000
412102123320213212032
524034431140242314
6530302020401130
743135065511602
oct6223370474616
91468318031030
10432112040334
11157291a88607
126b8b55461a6
1331995448740
1416cb2d0d502
15b390b67209
hex649be2798e

432112040334 has 32 divisors (see below), whose sum is σ = 1034114286240. Its totient is φ = 132957550656.

The previous prime is 432112040309. The next prime is 432112040369. The reversal of 432112040334 is 433040211234.

432112040334 is a `hidden beast` number, since 4 + 321 + 1 + 2 + 0 + 4 + 0 + 334 = 666.

It is a super-2 number, since 2×4321120403342 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 432112040298 and 432112040307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307771407 + ... + 307772810.

It is an arithmetic number, because the mean of its divisors is an integer number (32316071445).

Almost surely, 2432112040334 is an apocalyptic number.

432112040334 is an abundant number, since it is smaller than the sum of its proper divisors (602002245906).

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

432112040334 is a wasteful number, since it uses less digits than its factorization.

432112040334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615544241 (or 615544235 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 432112040334 its reverse (433040211234), we get a palindrome (865152251568).

The spelling of 432112040334 in words is "four hundred thirty-two billion, one hundred twelve million, forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 615544217 1231088434 1846632651 3693265302 5539897953 8002074821 11079795906 16004149642 16619693859 24006224463 33239387718 48012448926 72018673389 144037346778 216056020167 432112040334