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234340043432 = 23117160296221
BaseRepresentation
bin1101101000111111000…
…0010100101010101000
3211101212120010122012212
43122033300110222220
512314412022342212
6255353200224252
722634110334465
oct3321760245250
9741776118185
10234340043432
1190423933090
123950000b088
13191378b3cc1
14b4b0ab866c
1561680e1e22
hex368fc14aa8

234340043432 has 64 divisors (see below), whose sum is σ = 486241833600. Its totient is φ = 104983648000.

The previous prime is 234340043417. The next prime is 234340043453.

234340043432 is nontrivially palindromic in base 10.

It is a super-7 number, since 7×2343400434327 (a number of 81 digits) contains 7777777 as substring.

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, 37666082 + ... + 37672302.

It is an arithmetic number, because the mean of its divisors is an integer number (7597528650).

Almost surely, 2234340043432 is an apocalyptic number.

234340043432 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 234340043432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243120916800).

234340043432 is an abundant number, since it is smaller than the sum of its proper divisors (251901790168).

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

234340043432 is a wasteful number, since it uses less digits than its factorization.

234340043432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12338 (or 12334 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

It can be divided in two parts, 2343400 and 43432, that added together give a palindrome (2386832).

The spelling of 234340043432 in words is "two hundred thirty-four billion, three hundred forty million, forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 6029 6221 6248 12058 12442 24116 24884 48232 49768 66319 68431 132638 136862 265276 273724 428059 441691 530552 547448 856118 883382 1712236 1766764 3424472 3533528 4708649 4858601 9417298 9717202 18834596 19434404 37506409 37669192 38868808 75012818 150025636 300051272 412570499 825140998 1650281996 2662955039 3300563992 5325910078 10651820156 21303640312 29292505429 58585010858 117170021716 234340043432