Search a number
-
+
234203616 = 25331631663
BaseRepresentation
bin11011111010110…
…10100111100000
3121022200202222000
431331122213200
5434424003431
635123444000
75542461243
oct1575324740
9538622860
10234203616
11110224709
1266526600
13396a172a
142316725a
15158639e6
hexdf5a9e0

234203616 has 96 divisors (see below), whose sum is σ = 687697920. Its totient is φ = 77542272.

The previous prime is 234203587. The next prime is 234203617. The reversal of 234203616 is 616302432.

234203616 is a `hidden beast` number, since 2 + 3 + 42 + 0 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 234203616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234203617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140001 + ... + 141663.

It is an arithmetic number, because the mean of its divisors is an integer number (7163520).

Almost surely, 2234203616 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 234203616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343848960).

234203616 is an abundant number, since it is smaller than the sum of its proper divisors (453494304).

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

234203616 is a wasteful number, since it uses less digits than its factorization.

234203616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 234203616 is about 15303.7124907651. The cubic root of 234203616 is about 616.4026995227.

The spelling of 234203616 in words is "two hundred thirty-four million, two hundred three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 163 216 288 326 432 489 652 864 978 1304 1467 1663 1956 2608 2934 3326 3912 4401 4989 5216 5868 6652 7824 8802 9978 11736 13304 14967 15648 17604 19956 23472 26608 29934 35208 39912 44901 46944 53216 59868 70416 79824 89802 119736 140832 159648 179604 239472 271069 359208 478944 542138 718416 813207 1084276 1436832 1626414 2168552 2439621 3252828 4337104 4879242 6505656 7318863 8674208 9758484 13011312 14637726 19516968 26022624 29275452 39033936 58550904 78067872 117101808 234203616