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44034012 = 2232111731211
BaseRepresentation
bin1010011111111…
…0011111011100
310001212011022100
42213332133130
542233042022
64211445100
71043166021
oct247763734
9101764270
1044034012
1122946450
12128b6790
139179a39
145bc3548
153cec1ac
hex29fe7dc

44034012 has 144 divisors (see below), whose sum is σ = 133346304. Its totient is φ = 12096000.

The previous prime is 44034007. The next prime is 44034017. The reversal of 44034012 is 21043044.

It is an interprime number because it is at equal distance from previous prime (44034007) and next prime (44034017).

It is a super-2 number, since 2×440340122 = 3877988425632288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44034017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208587 + ... + 208797.

It is an arithmetic number, because the mean of its divisors is an integer number (926016).

Almost surely, 244034012 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 44034012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66673152).

44034012 is an abundant number, since it is smaller than the sum of its proper divisors (89312292).

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

44034012 is a wasteful number, since it uses less digits than its factorization.

44034012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 44034012 is about 6635.8128364203. The cubic root of 44034012 is about 353.1257754127.

Adding to 44034012 its reverse (21043044), we get a palindrome (65077056).

The spelling of 44034012 in words is "forty-four million, thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 31 33 34 36 44 51 62 66 68 93 99 102 124 132 153 186 187 198 204 211 279 306 341 372 374 396 422 527 558 561 612 633 682 748 844 1023 1054 1116 1122 1266 1364 1581 1683 1899 2046 2108 2244 2321 2532 3069 3162 3366 3587 3798 4092 4642 4743 5797 6138 6324 6541 6732 6963 7174 7596 9284 9486 10761 11594 12276 13082 13926 14348 17391 18972 19623 20889 21522 23188 26164 27852 32283 34782 39246 39457 41778 43044 52173 58869 64566 69564 71951 78492 78914 83556 104346 111197 117738 118371 129132 143902 157828 208692 215853 222394 235476 236742 287804 333591 355113 431706 444788 473484 647559 667182 710226 863412 1000773 1223167 1295118 1334364 1420452 2001546 2446334 2590236 3669501 4003092 4892668 7339002 11008503 14678004 22017006 44034012