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1044114324 = 2231125571291
BaseRepresentation
bin111110001110111…
…110101110010100
32200202200111120220
4332032332232110
54114243124244
6251334554340
734605553041
oct7616765624
92622614526
101044114324
11496414600
122518089b0
13138414636
149c9521c8
15619e7319
hex3e3beb94

1044114324 has 72 divisors (see below), whose sum is σ = 2684765664. Its totient is φ = 315585600.

The previous prime is 1044114307. The next prime is 1044114341. The reversal of 1044114324 is 4234114401.

It is an interprime number because it is at equal distance from previous prime (1044114307) and next prime (1044114341).

It is a junction number, because it is equal to n+sod(n) for n = 1044114294 and 1044114303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808119 + ... + 809409.

It is an arithmetic number, because the mean of its divisors is an integer number (37288412).

Almost surely, 21044114324 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 1044114324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342382832).

1044114324 is an abundant number, since it is smaller than the sum of its proper divisors (1640651340).

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

1044114324 is a wasteful number, since it uses less digits than its factorization.

1044114324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1044114324 is about 32312.7579138643. The cubic root of 1044114324 is about 1014.4936926570.

Adding to 1044114324 its reverse (4234114401), we get a palindrome (5278228725).

The spelling of 1044114324 in words is "one billion, forty-four million, one hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 557 726 1114 1291 1452 1671 2228 2582 3342 3873 5164 6127 6684 7746 12254 14201 15492 18381 24508 28402 36762 42603 56804 67397 73524 85206 134794 156211 170412 202191 269588 312422 404382 468633 624844 719087 808764 937266 1438174 1874532 2157261 2876348 4314522 7909957 8629044 15819914 23729871 31639828 47459742 87009527 94919484 174019054 261028581 348038108 522057162 1044114324