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234322416 = 24334991087
BaseRepresentation
bin11011111011101…
…11100111110000
3121022220210221000
431331313213300
5434441304131
635130202000
75543464506
oct1575674760
9538823830
10234322416
111102a5999
1266583300
1339713823
1423198676
1515888ce6
hexdf779f0

234322416 has 80 divisors (see below), whose sum is σ = 674560000. Its totient is φ = 77879232.

The previous prime is 234322393. The next prime is 234322427. The reversal of 234322416 is 614223432.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 234322416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215025 + ... + 216111.

It is an arithmetic number, because the mean of its divisors is an integer number (8432000).

Almost surely, 2234322416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234322416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337280000).

234322416 is an abundant number, since it is smaller than the sum of its proper divisors (440237584).

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

234322416 is a wasteful number, since it uses less digits than its factorization.

234322416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1591 counting only the distinct ones).

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

The square root of 234322416 is about 15307.5934098081. The cubic root of 234322416 is about 616.5069055176.

Adding to 234322416 its reverse (614223432), we get a palindrome (848545848).

The spelling of 234322416 in words is "two hundred thirty-four million, three hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 499 998 1087 1497 1996 2174 2994 3261 3992 4348 4491 5988 6522 7984 8696 8982 9783 11976 13044 13473 17392 17964 19566 23952 26088 26946 29349 35928 39132 52176 53892 58698 71856 78264 107784 117396 156528 215568 234792 469584 542413 1084826 1627239 2169652 3254478 4339304 4881717 6508956 8678608 9763434 13017912 14645151 19526868 26035824 29290302 39053736 58580604 78107472 117161208 234322416