Search a number
-
+
364063284 = 2232134379229
BaseRepresentation
bin10101101100110…
…010101000110100
3221101001022221100
4111230302220310
51221200011114
6100043050100
712010325664
oct2554625064
9841038840
10364063284
11177560152
12a1b10930
135a56b380
14364cc1a4
1521e65909
hex15b32a34

364063284 has 144 divisors (see below), whose sum is σ = 1031430400. Its totient is φ = 107557632.

The previous prime is 364063283. The next prime is 364063321. The reversal of 364063284 is 482360463.

It is a happy number.

364063284 is a `hidden beast` number, since 3 + 640 + 6 + 3 + 2 + 8 + 4 = 666.

364063284 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364063283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1589682 + ... + 1589910.

Almost surely, 2364063284 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 364063284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515715200).

364063284 is an abundant number, since it is smaller than the sum of its proper divisors (667367116).

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

364063284 is a wasteful number, since it uses less digits than its factorization.

364063284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 364063284 is about 19080.4424477002. The cubic root of 364063284 is about 714.0450740087.

The spelling of 364063284 in words is "three hundred sixty-four million, sixty-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 79 86 117 129 156 158 172 229 234 237 258 316 387 458 468 474 516 559 687 711 774 916 948 1027 1118 1374 1422 1548 1677 2054 2061 2236 2748 2844 2977 3081 3354 3397 4108 4122 5031 5954 6162 6708 6794 8244 8931 9243 9847 10062 10191 11908 12324 13588 17862 18091 18486 19694 20124 20382 26793 29541 30573 35724 36182 36972 39388 40764 44161 53586 54273 59082 61146 72364 88322 88623 107172 108546 118164 122292 128011 132483 162819 176644 177246 217092 235183 256022 264966 325638 354492 384033 397449 470366 512044 529932 651276 705549 768066 777913 794898 940732 1152099 1411098 1536132 1555826 1589796 2116647 2304198 2333739 2822196 3111652 4233294 4608396 4667478 7001217 8466588 9334956 10112869 14002434 20225738 28004868 30338607 40451476 60677214 91015821 121354428 182031642 364063284