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45268344 = 23321161937
BaseRepresentation
bin1010110010101…
…1110101111000
310011011212111100
42230223311320
543042041334
64254131400
71056526452
oct254536570
9104155440
1045268344
1123609860
12131b0b60
1394bc804
1460252d2
153e92c99
hex2b2bd78

45268344 has 96 divisors (see below), whose sum is σ = 136085040. Its totient is φ = 13478400.

The previous prime is 45268313. The next prime is 45268357. The reversal of 45268344 is 44386254.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45268299 and 45268308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47844 + ... + 48780.

Almost surely, 245268344 is an apocalyptic number.

45268344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45268344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68042520).

45268344 is an abundant number, since it is smaller than the sum of its proper divisors (90816696).

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

45268344 is a wasteful number, since it uses less digits than its factorization.

45268344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1014 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 45268344 is about 6728.1753841588. The cubic root of 45268344 is about 356.3949452665.

The spelling of 45268344 in words is "forty-five million, two hundred sixty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 61 66 72 88 99 122 132 183 198 244 264 366 396 488 549 671 732 792 937 1098 1342 1464 1874 2013 2196 2684 2811 3748 4026 4392 5368 5622 6039 7496 8052 8433 10307 11244 12078 16104 16866 20614 22488 24156 30921 33732 41228 48312 57157 61842 67464 82456 92763 114314 123684 171471 185526 228628 247368 342942 371052 457256 514413 628727 685884 742104 1028826 1257454 1371768 1886181 2057652 2514908 3772362 4115304 5029816 5658543 7544724 11317086 15089448 22634172 45268344