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149341968 = 243571541
BaseRepresentation
bin10001110011011…
…00011100010000
3101102000100200000
420321230130100
5301212420333
622452530000
73462246216
oct1071543420
9342010600
10149341968
1177332916
1242020900
1324c2b539
1415b96cb6
15d19e713
hex8e6c710

149341968 has 120 divisors (see below), whose sum is σ = 440346816. Its totient is φ = 48988800.

The previous prime is 149341963. The next prime is 149341981. The reversal of 149341968 is 869143941.

It is a super-2 number, since 2×1493419682 = 44606046812226048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (149341961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275778 + ... + 276318.

Almost surely, 2149341968 is an apocalyptic number.

149341968 is a gapful number since it is divisible by the number (18) 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 149341968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220173408).

149341968 is an abundant number, since it is smaller than the sum of its proper divisors (291004848).

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

149341968 is an equidigital number, since it uses as much as digits as its factorization.

149341968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 617 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 149341968 is about 12220.5551428730. Note that the first 3 decimals coincide. The cubic root of 149341968 is about 530.5511864012.

The spelling of 149341968 in words is "one hundred forty-nine million, three hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 243 284 324 426 432 486 541 568 639 648 852 972 1082 1136 1278 1296 1623 1704 1917 1944 2164 2556 3246 3408 3834 3888 4328 4869 5112 5751 6492 7668 8656 9738 10224 11502 12984 14607 15336 17253 19476 23004 25968 29214 30672 34506 38411 38952 43821 46008 58428 69012 76822 77904 87642 92016 115233 116856 131463 138024 153644 175284 230466 233712 262926 276048 307288 345699 350568 460932 525852 614576 691398 701136 921864 1037097 1051704 1382796 1843728 2074194 2103408 2765592 3111291 4148388 5531184 6222582 8296776 9333873 12445164 16593552 18667746 24890328 37335492 49780656 74670984 149341968