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149967342 = 23372192157
BaseRepresentation
bin10001111000001…
…01000111101110
3101110012010112000
420330011013232
5301342423332
622514153130
73500462400
oct1074050756
9343163460
10149967342
117771a758
12422827a6
13250ba095
1415cbab70
15d274b7c
hex8f051ee

149967342 has 144 divisors (see below), whose sum is σ = 411754320. Its totient is φ = 40334112.

The previous prime is 149967329. The next prime is 149967343. The reversal of 149967342 is 243769941.

It is a happy number.

149967342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149967343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 955128 + ... + 955284.

It is an arithmetic number, because the mean of its divisors is an integer number (2859405).

Almost surely, 2149967342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149967342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205877160).

149967342 is an abundant number, since it is smaller than the sum of its proper divisors (261786978).

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

149967342 is a wasteful number, since it uses less digits than its factorization.

149967342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 188 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 149967342 is about 12246.1153840718. The cubic root of 149967342 is about 531.2907214552.

The spelling of 149967342 in words is "one hundred forty-nine million, nine hundred sixty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 157 171 189 266 294 314 342 361 378 399 441 471 513 722 798 882 931 942 1026 1083 1099 1197 1323 1413 1862 2166 2198 2394 2527 2646 2793 2826 2983 3249 3297 3591 4239 5054 5586 5966 6498 6594 7182 7581 7693 8379 8478 8949 9747 9891 15162 15386 16758 17689 17898 19494 19782 20881 22743 23079 25137 26847 29673 35378 41762 45486 46158 50274 53067 53694 56677 59346 62643 68229 69237 80541 106134 113354 125286 136458 138474 146167 159201 161082 170031 187929 207711 292334 318402 340062 375858 396739 415422 438501 477603 510093 563787 793478 877002 955206 1020186 1127574 1190217 1315503 1530279 2380434 2631006 2777173 3060558 3570651 3946509 5554346 7141302 7893018 8331519 10711953 16663038 21423906 24994557 49989114 74983671 149967342