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234344016 = 2434732477
BaseRepresentation
bin11011111011111…
…00111001010000
3121022221220120000
431331330321100
5434443002031
635130450000
75543614464
oct1575747120
9538856500
10234344016
11110310145
1266593900
13397205ca
14231a24a4
15158903e6
hexdf7ce50

234344016 has 100 divisors (see below), whose sum is σ = 687828372. Its totient is φ = 77013504.

The previous prime is 234343981. The next prime is 234344029. The reversal of 234344016 is 610443432.

It can be written as a sum of positive squares in 2 ways, for example, as 125350416 + 108993600 = 11196^2 + 10440^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93370 + ... + 95846.

Almost surely, 2234344016 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 234344016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343914186).

234344016 is an abundant number, since it is smaller than the sum of its proper divisors (453484356).

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

234344016 is a wasteful number, since it uses less digits than its factorization.

234344016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2555 counting only the distinct ones).

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

The square root of 234344016 is about 15308.2989257461. The cubic root of 234344016 is about 616.5258482778.

Adding to 234344016 its reverse (610443432), we get a palindrome (844787448).

The spelling of 234344016 in words is "two hundred thirty-four million, three hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 81 108 144 146 162 216 219 292 324 432 438 584 648 657 876 1168 1296 1314 1752 1971 2477 2628 3504 3942 4954 5256 5913 7431 7884 9908 10512 11826 14862 15768 19816 22293 23652 29724 31536 39632 44586 47304 59448 66879 89172 94608 118896 133758 178344 180821 200637 267516 356688 361642 401274 535032 542463 723284 802548 1070064 1084926 1446568 1605096 1627389 2169852 2893136 3210192 3254778 4339704 4882167 6509556 8679408 9764334 13019112 14646501 19528668 26038224 29293002 39057336 58586004 78114672 117172008 234344016