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1345132224 = 26333112503
BaseRepresentation
bin101000000101101…
…0001011011000000
310110202002210112000
41100023101123000
510223323212344
6341250504000
745222302202
oct12013213300
93422083460
101345132224
11630323827
12316595000
131858aa837
14ca90c772
157d157a69
hex502d16c0

1345132224 has 112 divisors (see below), whose sum is σ = 3968739840. Its totient is φ = 446757120.

The previous prime is 1345132193. The next prime is 1345132231. The reversal of 1345132224 is 4222315431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 536157 + ... + 538659.

Almost surely, 21345132224 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 1345132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984369920).

1345132224 is an abundant number, since it is smaller than the sum of its proper divisors (2623607616).

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

1345132224 is a wasteful number, since it uses less digits than its factorization.

1345132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2819 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 1345132224 is about 36676.0442796112. The cubic root of 1345132224 is about 1103.8794764460.

Adding to 1345132224 its reverse (4222315431), we get a palindrome (5567447655).

The spelling of 1345132224 in words is "one billion, three hundred forty-five million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 311 432 576 622 864 933 1244 1728 1866 2488 2503 2799 3732 4976 5006 5598 7464 7509 8397 9952 10012 11196 14928 15018 16794 19904 20024 22392 22527 29856 30036 33588 40048 44784 45054 59712 60072 67176 67581 80096 89568 90108 120144 134352 135162 160192 179136 180216 240288 268704 270324 360432 480576 537408 540648 720864 778433 1081296 1441728 1556866 2162592 2335299 3113732 4325184 4670598 6227464 7005897 9341196 12454928 14011794 18682392 21017691 24909856 28023588 37364784 42035382 49819712 56047176 74729568 84070764 112094352 149459136 168141528 224188704 336283056 448377408 672566112 1345132224