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232364034 = 232719312101
BaseRepresentation
bin11011101100110…
…01100000000010
3121012020022112100
431312121200002
5433441122114
635020211230
75521030110
oct1566314002
9535208470
10232364034
1110a1885a1
1265999b16
13391a9316
1422c08ab0
15155ed909
hexdd99802

232364034 has 144 divisors (see below), whose sum is σ = 632024640. Its totient is φ = 60264000.

The previous prime is 232364023. The next prime is 232364071. The reversal of 232364034 is 430463232.

It is a happy number.

232364034 is a `hidden beast` number, since 23 + 236 + 403 + 4 = 666.

232364034 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 232363989 and 232364007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2300584 + ... + 2300684.

It is an arithmetic number, because the mean of its divisors is an integer number (4389060).

Almost surely, 2232364034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232364034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316012320).

232364034 is an abundant number, since it is smaller than the sum of its proper divisors (399660606).

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

232364034 is a wasteful number, since it uses less digits than its factorization.

232364034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 232364034 is about 15243.4915291740. The cubic root of 232364034 is about 614.7845844800.

The spelling of 232364034 in words is "two hundred thirty-two million, three hundred sixty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 57 62 63 93 101 114 126 133 171 186 202 217 266 279 303 342 399 434 558 589 606 651 707 798 909 961 1178 1197 1302 1414 1767 1818 1919 1922 1953 2121 2394 2883 3131 3534 3838 3906 4123 4242 5301 5757 5766 6262 6363 6727 8246 8649 9393 10602 11514 12369 12726 13433 13454 17271 17298 18259 18786 20181 21917 24738 26866 28179 34542 36518 37107 40299 40362 43834 54777 56358 59489 60543 65751 74214 80598 97061 109554 118978 120897 121086 127813 131502 164331 178467 194122 197253 241794 255626 291183 328662 356934 383439 394506 416423 535401 582366 679427 766878 832846 873549 1070802 1150317 1249269 1358854 1747098 1844159 2038281 2300634 2498538 3688318 3747807 4076562 5532477 6114843 7495614 11064954 12229686 12909113 16597431 25818226 33194862 38727339 77454678 116182017 232364034