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45434340 = 223257107337
BaseRepresentation
bin1010110101010…
…0010111100100
310011111022012100
42231110113210
543112344330
64301452100
71061120430
oct255242744
9104438170
1045434340
1123712546
1213271030
13954a233
1460699c0
153ec7060
hex2b545e4

45434340 has 144 divisors (see below), whose sum is σ = 159449472. Its totient is φ = 10257408.

The previous prime is 45434327. The next prime is 45434341. The reversal of 45434340 is 4343454.

45434340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45434341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134652 + ... + 134988.

It is an arithmetic number, because the mean of its divisors is an integer number (1107288).

Almost surely, 245434340 is an apocalyptic number.

It is a pronic number, being equal to 6740×6741.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79724736).

45434340 is an abundant number, since it is smaller than the sum of its proper divisors (114015132).

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

45434340 is a wasteful number, since it uses less digits than its factorization.

45434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 45434340 is about 6740.4999814554. The cubic root of 45434340 is about 356.8300393814.

Adding to 45434340 its reverse (4343454), we get a palindrome (49777794).

The spelling of 45434340 in words is "forty-five million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 107 126 140 180 210 214 252 315 321 337 420 428 535 630 642 674 749 963 1011 1070 1260 1284 1348 1498 1605 1685 1926 2022 2140 2247 2359 2996 3033 3210 3370 3745 3852 4044 4494 4718 4815 5055 6066 6420 6740 6741 7077 7490 8988 9436 9630 10110 11235 11795 12132 13482 14154 14980 15165 19260 20220 21231 22470 23590 26964 28308 30330 33705 35385 36059 42462 44940 47180 60660 67410 70770 72118 84924 106155 108177 134820 141540 144236 180295 212310 216354 252413 324531 360590 424620 432708 504826 540885 649062 721180 757239 1009652 1081770 1262065 1298124 1514478 1622655 2163540 2271717 2524130 3028956 3245310 3786195 4543434 5048260 6490620 7572390 9086868 11358585 15144780 22717170 45434340