Search a number
-
+
149871344 = 2474771401
BaseRepresentation
bin10001110111011…
…01101011110000
3101110000020211112
420323231223300
5301331340334
622512132452
73466612460
oct1073555360
9343006745
10149871344
1177664617
1242237128
132508548c
1415c93ba0
15d2564ce
hex8eedaf0

149871344 has 80 divisors (see below), whose sum is σ = 344549376. Its totient is φ = 61824000.

The previous prime is 149871331. The next prime is 149871389. The reversal of 149871344 is 443178941.

It is a super-2 number, since 2×1498713442 = 44922839504732672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373544 + ... + 373944.

Almost surely, 2149871344 is an apocalyptic number.

149871344 is a gapful number since it is divisible by the number (14) 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 149871344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172274688).

149871344 is an abundant number, since it is smaller than the sum of its proper divisors (194678032).

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

149871344 is a wasteful number, since it uses less digits than its factorization.

149871344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 149871344 is about 12242.1952279810. The cubic root of 149871344 is about 531.1773329165.

The spelling of 149871344 in words is "one hundred forty-nine million, eight hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 71 94 112 142 188 284 329 376 401 497 568 658 752 802 994 1136 1316 1604 1988 2632 2807 3208 3337 3976 5264 5614 6416 6674 7952 11228 13348 18847 22456 23359 26696 28471 37694 44912 46718 53392 56942 75388 93436 113884 131929 150776 186872 199297 227768 263858 301552 373744 398594 455536 527716 797188 1055432 1338137 1594376 2110864 2676274 3188752 5352548 9366959 10705096 18733918 21410192 37467836 74935672 149871344