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149364306 = 232713671361
BaseRepresentation
bin10001110011100…
…01111001010010
3101102001111022100
420321301321102
5301214124211
622453221230
73462401310
oct1071617122
9342044270
10149364306
1177348683
1242031816
1324c38760
1415ba10b0
15d1a6156
hex8e71e52

149364306 has 96 divisors (see below), whose sum is σ = 404546688. Its totient is φ = 38776320.

The previous prime is 149364289. The next prime is 149364311. The reversal of 149364306 is 603463941.

149364306 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 643 + 0 + 6 = 666.

149364306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109066 + ... + 110426.

It is an arithmetic number, because the mean of its divisors is an integer number (4214028).

Almost surely, 2149364306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149364306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202273344).

149364306 is an abundant number, since it is smaller than the sum of its proper divisors (255182382).

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

149364306 is a wasteful number, since it uses less digits than its factorization.

149364306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 149364306 is about 12221.4690606326. The cubic root of 149364306 is about 530.5776376877.

The spelling of 149364306 in words is "one hundred forty-nine million, three hundred sixty-four thousand, three hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 67 78 91 117 126 134 182 201 234 273 402 469 546 603 819 871 938 1206 1361 1407 1638 1742 2613 2722 2814 4083 4221 5226 6097 7839 8166 8442 9527 12194 12249 15678 17693 18291 19054 24498 28581 35386 36582 53079 54873 57162 85743 91187 106158 109746 123851 159237 171486 182374 247702 273561 318474 371553 547122 638309 743106 820683 1114659 1185431 1276618 1641366 1914927 2229318 2370862 3556293 3829854 5744781 7112586 8298017 10668879 11489562 16596034 21337758 24894051 49788102 74682153 149364306