Search a number
-
+
234322433424 = 243223547129341
BaseRepresentation
bin1101101000111010110…
…1001001010110010000
3211101211022222221211100
43122032231021112100
512314343020332144
6255351330544400
722633504551402
oct3321655112620
9741738887740
10234322433424
11904149a5462
12394b6138100
1319134059691
14b4ac612b72
1561667b4269
hex368eb49590

234322433424 has 120 divisors (see below), whose sum is σ = 685545711552. Its totient is φ = 74574339840.

The previous prime is 234322433413. The next prime is 234322433453. The reversal of 234322433424 is 424334223432.

234322433424 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 224 + 3 + 3 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1746994 + ... + 1876334.

Almost surely, 2234322433424 is an apocalyptic number.

234322433424 is a gapful number since it is divisible by the number (24) 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 234322433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342772855776).

234322433424 is an abundant number, since it is smaller than the sum of its proper divisors (451223278128).

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

234322433424 is a wasteful number, since it uses less digits than its factorization.

234322433424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129925 (or 129916 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

Adding to 234322433424 its reverse (424334223432), we get a palindrome (658656656856).

The spelling of 234322433424 in words is "two hundred thirty-four billion, three hundred twenty-two million, four hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 547 552 828 1094 1104 1641 1656 2188 3282 3312 4376 4923 6564 8752 9846 12581 13128 19692 25162 26256 37743 39384 50324 75486 78768 100648 113229 129341 150972 201296 226458 258682 301944 388023 452916 517364 603888 776046 905832 1034728 1164069 1552092 1811664 2069456 2328138 2974843 3104184 4656276 5949686 6208368 8924529 9312552 11899372 17849058 18625104 23798744 26773587 35698116 47597488 53547174 70749527 71396232 107094348 141499054 142792464 212248581 214188696 282998108 424497162 428377392 565996216 636745743 848994324 1131992432 1273491486 1627239121 1697988648 2546982972 3254478242 3395977296 4881717363 5093965944 6508956484 9763434726 10187931888 13017912968 14645152089 19526869452 26035825936 29290304178 39053738904 58580608356 78107477808 117161216712 234322433424