Search a number
-
+
234333130024 = 2373129765843
BaseRepresentation
bin1101101000111101010…
…1111100110100101000
3211101212002010101210201
43122033111330310220
512314403240130044
6255352352121544
722633664512000
oct3321725746450
9741762111721
10234333130024
119041aa40a24
12394b98362b4
1319136333326
14b4adbd9000
1561676c87d4
hex368f57cd28

234333130024 has 64 divisors (see below), whose sum is σ = 512793072000. Its totient is φ = 100349528832.

The previous prime is 234333129991. The next prime is 234333130067. The reversal of 234333130024 is 420031333432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 234333129974 and 234333130001.

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, 3526047 + ... + 3591889.

It is an arithmetic number, because the mean of its divisors is an integer number (8012391750).

Almost surely, 2234333130024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234333130024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256396536000).

234333130024 is an abundant number, since it is smaller than the sum of its proper divisors (278459941976).

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

234333130024 is a wasteful number, since it uses less digits than its factorization.

234333130024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67167 (or 67149 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 234333130024 its reverse (420031333432), we get a palindrome (654364463456).

The spelling of 234333130024 in words is "two hundred thirty-four billion, three hundred thirty-three million, one hundred thirty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1297 1372 2594 2744 5188 9079 10376 18158 36316 63553 65843 72632 127106 131686 254212 263372 444871 460901 508424 526744 889742 921802 1779484 1843604 3226307 3558968 3687208 6452614 12905228 22584149 25810456 45168298 85398371 90336596 170796742 180673192 341593484 597788597 683186968 1195577194 2391154388 4184520179 4782308776 8369040358 16738080716 29291641253 33476161432 58583282506 117166565012 234333130024