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1234002112 = 2674016869
BaseRepresentation
bin100100110001101…
…0110000011000000
310011222222210122221
41021203112003000
510011401031422
6322240540424
742402562540
oct11143260300
93158883587
101234002112
11583620062
122a5321714
1316886ac85
14b9c61320
15735053c7
hex498d60c0

1234002112 has 56 divisors (see below), whose sum is σ = 2805927840. Its totient is φ = 527462400.

The previous prime is 1234002097. The next prime is 1234002131. The reversal of 1234002112 is 2112004321.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×12340021122 = 3045522424840921088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176214 + ... + 183082.

Almost surely, 21234002112 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 1234002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402963920).

1234002112 is an abundant number, since it is smaller than the sum of its proper divisors (1571925728).

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

1234002112 is an equidigital number, since it uses as much as digits as its factorization.

1234002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7289 (or 7279 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1234002112 is about 35128.3662016895. The cubic root of 1234002112 is about 1072.6020788041.

Adding to 1234002112 its reverse (2112004321), we get a palindrome (3346006433).

The spelling of 1234002112 in words is "one billion, two hundred thirty-four million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 401 448 802 1604 2807 3208 5614 6416 6869 11228 12832 13738 22456 25664 27476 44912 48083 54952 89824 96166 109904 179648 192332 219808 384664 439616 769328 1538656 2754469 3077312 5508938 11017876 19281283 22035752 38562566 44071504 77125132 88143008 154250264 176286016 308500528 617001056 1234002112