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149643354 = 2373194389
BaseRepresentation
bin10001110101101…
…10000001011010
3101102120200002110
420322312001122
5301302041404
622503213150
73464643000
oct1072660132
9342520073
10149643354
11775192a3
12421471b6
1325005783
1415c34a70
15d20db89
hex8eb605a

149643354 has 128 divisors (see below), whose sum is σ = 380160000. Its totient is φ = 39118464.

The previous prime is 149643331. The next prime is 149643371. The reversal of 149643354 is 453346941.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1681342 + ... + 1681430.

It is an arithmetic number, because the mean of its divisors is an integer number (2970000).

Almost surely, 2149643354 is an apocalyptic number.

149643354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149643354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190080000).

149643354 is an abundant number, since it is smaller than the sum of its proper divisors (230516646).

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

149643354 is a wasteful number, since it uses less digits than its factorization.

149643354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 149643354 is about 12232.8800370150. The cubic root of 149643354 is about 530.9078471524.

It can be divided in two parts, 1496 and 43354, that added together give a triangular number (44850 = T299).

The spelling of 149643354 in words is "one hundred forty-nine million, six hundred forty-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 43 49 57 86 89 98 114 129 133 147 178 258 266 267 294 301 343 399 534 602 623 686 798 817 903 931 1029 1246 1634 1691 1806 1862 1869 2058 2107 2451 2793 3382 3738 3827 4214 4361 4902 5073 5586 5719 6321 6517 7654 8722 10146 11438 11481 11837 12642 13034 13083 14749 17157 19551 22962 23674 26166 26789 29498 30527 34314 35511 39102 40033 44247 53578 61054 71022 72713 80066 80367 82859 88494 91581 120099 145426 160734 165718 183162 187523 218139 240198 248577 280231 375046 436278 497154 508991 560462 562569 580013 840693 1017982 1125138 1160026 1312661 1526973 1681386 1740039 2625322 3053946 3480078 3562937 3937983 7125874 7875966 10688811 21377622 24940559 49881118 74821677 149643354