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148350312 = 233311292153
BaseRepresentation
bin10001101011110…
…10010101101000
3101100010222101000
420311322111220
5300434202222
622415355000
73450646125
oct1065722550
9340128330
10148350312
1176815870
1241822a60
1324972066
14159b974c
15d0559ac
hex8d7a568

148350312 has 128 divisors (see below), whose sum is σ = 465264000. Its totient is φ = 43384320.

The previous prime is 148350277. The next prime is 148350337. The reversal of 148350312 is 213053841.

It is a happy number.

148350312 is a `hidden beast` number, since 148 + 3 + 503 + 12 = 666.

148350312 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67828 + ... + 69980.

It is an arithmetic number, because the mean of its divisors is an integer number (3634875).

Almost surely, 2148350312 is an apocalyptic number.

148350312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148350312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232632000).

148350312 is an abundant number, since it is smaller than the sum of its proper divisors (316913688).

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

148350312 is a wasteful number, since it uses less digits than its factorization.

148350312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 148350312 is about 12179.9142854127. The cubic root of 148350312 is about 529.3742609250.

The spelling of 148350312 in words is "one hundred forty-eight million, three hundred fifty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 87 88 99 108 116 132 174 198 216 232 261 264 297 319 348 396 522 594 638 696 783 792 957 1044 1188 1276 1566 1914 2088 2153 2376 2552 2871 3132 3828 4306 5742 6264 6459 7656 8612 8613 11484 12918 17224 17226 19377 22968 23683 25836 34452 38754 47366 51672 58131 62437 68904 71049 77508 94732 116262 124874 142098 155016 187311 189464 213147 232524 249748 284196 374622 426294 465048 499496 561933 568392 639441 686807 749244 852588 1123866 1278882 1373614 1498488 1685799 1705176 2060421 2247732 2557764 2747228 3371598 4120842 4495464 5115528 5494456 6181263 6743196 8241684 12362526 13486392 16483368 18543789 24725052 37087578 49450104 74175156 148350312