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1220431344 = 2431110322441
BaseRepresentation
bin100100010111110…
…0100110111110000
310011001110100001220
41020233210313300
54444412300334
6321034025040
742146331606
oct11057446760
93131410056
101220431344
115769a1150
122a0878180
13165ac9032
14b812b876
1572224449
hex48be4df0

1220431344 has 80 divisors (see below), whose sum is σ = 3472944384. Its totient is φ = 366220800.

The previous prime is 1220431339. The next prime is 1220431349. The reversal of 1220431344 is 4431340221.

It is an interprime number because it is at equal distance from previous prime (1220431339) and next prime (1220431349).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220431349) 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, 43164 + ... + 65604.

Almost surely, 21220431344 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 1220431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736472192).

1220431344 is an abundant number, since it is smaller than the sum of its proper divisors (2252513040).

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

1220431344 is a wasteful number, since it uses less digits than its factorization.

1220431344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22566 (or 22560 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1220431344 is about 34934.6725188601. The cubic root of 1220431344 is about 1068.6556453345.

Adding to 1220431344 its reverse (4431340221), we get a palindrome (5651771565).

The spelling of 1220431344 in words is "one billion, two hundred twenty million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 132 176 206 264 309 412 528 618 824 1133 1236 1648 2266 2472 3399 4532 4944 6798 9064 13596 18128 22441 27192 44882 54384 67323 89764 134646 179528 246851 269292 359056 493702 538584 740553 987404 1077168 1481106 1974808 2311423 2962212 3949616 4622846 5924424 6934269 9245692 11848848 13868538 18491384 25425653 27737076 36982768 50851306 55474152 76276959 101702612 110948304 152553918 203405224 305107836 406810448 610215672 1220431344