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234814398 = 237133113873
BaseRepresentation
bin11011111111011…
…11101110111110
3121100211210210120
431333233232332
5440103030043
635144515410
75550614040
oct1577575676
9540753716
10234814398
11110601595
126677bb66
1339856740
1423285a90
1515934983
hexdfefbbe

234814398 has 64 divisors (see below), whose sum is σ = 596692992. Its totient is φ = 59927040.

The previous prime is 234814373. The next prime is 234814409. The reversal of 234814398 is 893418432.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9990 + ... + 23862.

It is an arithmetic number, because the mean of its divisors is an integer number (9323328).

Almost surely, 2234814398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234814398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298346496).

234814398 is an abundant number, since it is smaller than the sum of its proper divisors (361878594).

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

234814398 is a wasteful number, since it uses less digits than its factorization.

234814398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13929.

The product of its digits is 165888, while the sum is 42.

The square root of 234814398 is about 15323.6548512422. The cubic root of 234814398 is about 616.9380753513.

The spelling of 234814398 in words is "two hundred thirty-four million, eight hundred fourteen thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 806 1209 1302 2418 2821 5642 8463 13873 16926 27746 41619 83238 97111 180349 194222 291333 360698 430063 541047 582666 860126 1082094 1262443 1290189 2524886 2580378 3010441 3787329 5590819 6020882 7574658 9031323 11181638 16772457 18062646 33544914 39135733 78271466 117407199 234814398