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234244000032 = 25371279272539
BaseRepresentation
bin1101101000101000000…
…1111100100100100000
3211101121212102010102220
43122022001330210200
512314212431000112
6255335445511040
722631533101540
oct3321201744440
9741555363386
10234244000032
11903846a4279
1239493a12480
1319120a273a3
14b4a2037320
15615e96e98c
hex368a07c920

234244000032 has 96 divisors (see below), whose sum is σ = 703284019200. Its totient is φ = 66874284288.

The previous prime is 234244000009. The next prime is 234244000037. The reversal of 234244000032 is 230000442432.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 234243999966 and 234244000011.

It is not an unprimeable number, because it can be changed into a prime (234244000037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723219 + ... + 995757.

It is an arithmetic number, because the mean of its divisors is an integer number (7325875200).

Almost surely, 2234244000032 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 234244000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351642009600).

234244000032 is an abundant number, since it is smaller than the sum of its proper divisors (469040019168).

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

234244000032 is a wasteful number, since it uses less digits than its factorization.

234244000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273838 (or 273830 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 234244000032 its reverse (230000442432), we get a palindrome (464244442464).

The spelling of 234244000032 in words is "two hundred thirty-four billion, two hundred forty-four million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1279 2558 3837 5116 7674 8953 10232 15348 17906 20464 26859 30696 35812 40928 53718 61392 71624 107436 122784 143248 214872 272539 286496 429744 545078 817617 859488 1090156 1635234 1907773 2180312 3270468 3815546 4360624 5723319 6540936 7631092 8721248 11446638 13081872 15262184 22893276 26163744 30524368 45786552 61048736 91573104 183146208 348577381 697154762 1045732143 1394309524 2091464286 2440041667 2788619048 4182928572 4880083334 5577238096 7320125001 8365857144 9760166668 11154476192 14640250002 16731714288 19520333336 29280500004 33463428576 39040666672 58561000008 78081333344 117122000016 234244000032