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234253352432 = 24112971646423
BaseRepresentation
bin1101101000101010010…
…1100111110111110000
3211101122112000021112002
43122022211213313300
512314222324234212
6255340422153132
722632005433161
oct3321245476760
9741575007462
10234253352432
1190389a01930
1239496b827a8
1319122950258
14b4a338d768
1561606baac2
hex368a967df0

234253352432 has 80 divisors (see below), whose sum is σ = 519414612480. Its totient is φ = 101358969600.

The previous prime is 234253352387. The next prime is 234253352453.

234253352432 is nontrivially palindromic in base 10.

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, 39173 + ... + 685595.

It is an arithmetic number, because the mean of its divisors is an integer number (6492682656).

Almost surely, 2234253352432 is an apocalyptic number.

234253352432 is a gapful number since it is divisible by the number (22) 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 234253352432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259707306240).

234253352432 is an abundant number, since it is smaller than the sum of its proper divisors (285161260048).

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

234253352432 is a wasteful number, since it uses less digits than its factorization.

234253352432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646542 (or 646536 counting only the distinct ones).

The product of its digits is 518400, while the sum is 38.

It can be divided in two parts, 234253 and 352432, that added together give a palindrome (586685).

The spelling of 234253352432 in words is "two hundred thirty-four billion, two hundred fifty-three million, three hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 71 88 116 142 176 232 284 319 464 568 638 781 1136 1276 1562 2059 2552 3124 4118 5104 6248 8236 12496 16472 22649 32944 45298 90596 181192 362384 646423 1292846 2585692 5171384 7110653 10342768 14221306 18746267 28442612 37492534 45896033 56885224 74985068 91792066 113770448 149970136 183584132 206208937 299940272 367168264 412417874 504856363 734336528 824835748 1009712726 1330984957 1649671496 2019425452 2661969914 3299342992 4038850904 5323939828 8077701808 10647879656 14640834527 21295759312 29281669054 58563338108 117126676216 234253352432