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45938340 = 2234574051
BaseRepresentation
bin1010111100111…
…1011010100100
310012102220120000
42233033122210
543230011330
64320341300
71065320010
oct257173244
9105386500
1045938340
1123a27178
1213474830
139695766
14615b540
154076560
hex2bcf6a4

45938340 has 120 divisors (see below), whose sum is σ = 164738112. Its totient is φ = 10497600.

The previous prime is 45938303. The next prime is 45938351. The reversal of 45938340 is 4383954.

It is a super-2 number, since 2×459383402 = 4220662163911200, which contains 22 as substring.

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 = 45938295 and 45938304.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9315 + ... + 13365.

Almost surely, 245938340 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 45938340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82369056).

45938340 is an abundant number, since it is smaller than the sum of its proper divisors (118799772).

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

45938340 is a wasteful number, since it uses less digits than its factorization.

45938340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 45938340 is about 6777.7828233132. The cubic root of 45938340 is about 358.1446207830.

The spelling of 45938340 in words is "forty-five million, nine hundred thirty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 4051 5670 8102 11340 12153 16204 20255 24306 28357 36459 40510 48612 56714 60765 72918 81020 85071 109377 113428 121530 141785 145836 170142 182295 218754 243060 255213 283570 328131 340284 364590 425355 437508 510426 546885 567140 656262 729180 765639 850710 1020852 1093770 1276065 1312524 1531278 1640655 1701420 2187540 2296917 2552130 3062556 3281310 3828195 4593834 5104260 6562620 7656390 9187668 11484585 15312780 22969170 45938340