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234332001024 = 2831127738163
BaseRepresentation
bin1101101000111101000…
…1101001001100000000
3211101212000000001002220
43122033101221030000
512314402443013044
6255352312011040
722633652100312
oct3321721511400
9741760001086
10234332001024
119041a33a770
12394b9390a80
1319136029494
14b4ad9c37b2
156167554019
hex368f469300

234332001024 has 72 divisors (see below), whose sum is σ = 680361686592. Its totient is φ = 71009694720.

The previous prime is 234332001023. The next prime is 234332001053. The reversal of 234332001024 is 420100233432.

It is a super-2 number, since 2×2343320010242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 234332000985 and 234332001003.

It is not an unprimeable number, because it can be changed into a prime (234332001023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13860634 + ... + 13877529.

Almost surely, 2234332001024 is an apocalyptic number.

234332001024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234332001024 is an abundant number, since it is smaller than the sum of its proper divisors (446029685568).

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

234332001024 is a wasteful number, since it uses less digits than its factorization.

234332001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27738193 (or 27738179 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 234332001024 its reverse (420100233432), we get a palindrome (654432234456).

The spelling of 234332001024 in words is "two hundred thirty-four billion, three hundred thirty-two million, one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 27738163 55476326 83214489 110952652 166428978 221905304 305119793 332857956 443810608 610239586 665715912 887621216 915359379 1220479172 1331431824 1775242432 1830718758 2440958344 2662863648 3550484864 3661437516 4881916688 5325727296 7100969728 7322875032 9763833376 10651454592 14645750064 19527666752 21302909184 29291500128 39055333504 58583000256 78110667008 117166000512 234332001024