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1234013312 = 2774332029
BaseRepresentation
bin100100110001101…
…1000110010000000
310012000000101000202
41021203120302000
510011401411222
6322241104332
742402640310
oct11143306200
93160011022
101234013312
11583628514
122a53280a8
131688730bc
14b9c65440
1573508892
hex498d8c80

1234013312 has 64 divisors (see below), whose sum is σ = 2875012800. Its totient is φ = 516547584.

The previous prime is 1234013281. The next prime is 1234013351. The reversal of 1234013312 is 2133104321.

It is a tau number, because it is divible by the number of its divisors (64).

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, 22514 + ... + 54542.

It is an arithmetic number, because the mean of its divisors is an integer number (44922075).

Almost surely, 21234013312 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 1234013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437506400).

1234013312 is an abundant number, since it is smaller than the sum of its proper divisors (1640999488).

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

1234013312 is an equidigital number, since it uses as much as digits as its factorization.

1234013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32093 (or 32081 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1234013312 is about 35128.5256166552. The cubic root of 1234013312 is about 1072.6053238302.

Adding to 1234013312 its reverse (2133104321), we get a palindrome (3367117633).

It can be divided in two parts, 12340 and 13312, that added together give a palindrome (25652).

The spelling of 1234013312 in words is "one billion, two hundred thirty-four million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1204 1376 2408 2752 4816 5504 9632 19264 32029 38528 64058 128116 224203 256232 448406 512464 896812 1024928 1377247 1793624 2049856 2754494 3587248 4099712 5508988 7174496 9640729 11017976 14348992 19281458 22035952 28697984 38562916 44071904 77125832 88143808 154251664 176287616 308503328 617006656 1234013312