Search a number
-
+
324734234148 = 2232291203725841
BaseRepresentation
bin1001011100110111010…
…10110010111000100100
31011001012021202022100100
410232123222302320210
520310023430443043
6405103021344100
732314134306222
oct4563352627044
91131167668310
10324734234148
111157a0011525
1252b28a08030
132481229260c
1411a080a7b12
1586a8d85cd3
hex4b9bab2e24

324734234148 has 72 divisors (see below), whose sum is σ = 849264769080. Its totient is φ = 104499440640.

The previous prime is 324734234147. The next prime is 324734234261. The reversal of 324734234148 is 841432437423.

324734234148 is a `hidden beast` number, since 3 + 2 + 473 + 4 + 2 + 34 + 148 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1316818944 + 323417415204 = 36288^2 + 568698^2 .

It is not an unprimeable number, because it can be changed into a prime (324734234147) 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, 12553708 + ... + 12579548.

It is an arithmetic number, because the mean of its divisors is an integer number (11795344015).

Almost surely, 2324734234148 is an apocalyptic number.

It is an amenable number.

324734234148 is an abundant number, since it is smaller than the sum of its proper divisors (524530534932).

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

324734234148 is a wasteful number, since it uses less digits than its factorization.

324734234148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37917 (or 37912 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The spelling of 324734234148 in words is "three hundred twenty-four billion, seven hundred thirty-four million, two hundred thirty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 12037 24074 25841 36111 48148 51682 72222 77523 103364 108333 144444 155046 216666 232569 310092 349073 433332 465138 698146 749389 930276 1047219 1396292 1498778 2094438 2248167 2997556 3141657 4188876 4496334 6283314 6744501 8992668 12566628 13489002 26978004 311048117 622096234 933144351 1244192468 1866288702 2799433053 3732577404 5598866106 9020395393 11197732212 18040790786 27061186179 36081581572 54122372358 81183558537 108244744716 162367117074 324734234148