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234998960 = 24571393019
BaseRepresentation
bin11100000000111…
…00110010110000
3121101012011222012
432000130302300
5440124431320
635152502052
75552313110
oct1600346260
9541164865
10234998960
11110718219
126684a928
13398bc751
14232d3040
151596e4c5
hexe01ccb0

234998960 has 80 divisors (see below), whose sum is σ = 629126400. Its totient is φ = 79964928.

The previous prime is 234998927. The next prime is 234998963. The reversal of 234998960 is 69899432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2349989602 = 110449022402163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 234998899 and 234998908.

It is not an unprimeable number, because it can be changed into a prime (234998963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76331 + ... + 79349.

It is an arithmetic number, because the mean of its divisors is an integer number (7864080).

Almost surely, 2234998960 is an apocalyptic number.

234998960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234998960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314563200).

234998960 is an abundant number, since it is smaller than the sum of its proper divisors (394127440).

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

234998960 is a wasteful number, since it uses less digits than its factorization.

234998960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 50.

The square root of 234998960 is about 15329.6757956586. The cubic root of 234998960 is about 617.0996689436.

The spelling of 234998960 in words is "two hundred thirty-four million, nine hundred ninety-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 139 140 278 280 556 560 695 973 1112 1390 1946 2224 2780 3019 3892 4865 5560 6038 7784 9730 11120 12076 15095 15568 19460 21133 24152 30190 38920 42266 48304 60380 77840 84532 105665 120760 169064 211330 241520 338128 419641 422660 839282 845320 1678564 1690640 2098205 2937487 3357128 4196410 5874974 6714256 8392820 11749948 14687435 16785640 23499896 29374870 33571280 46999792 58749740 117499480 234998960