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45384240 = 24351117191
BaseRepresentation
bin1010110100100…
…0001000110000
310011101202110210
42231020020300
543104243430
64300424120
71060521366
oct255101060
9104352423
1045384240
1123688940
1213248040
1395304a5
146055636
153eb72b0
hex2b48230

45384240 has 80 divisors (see below), whose sum is σ = 153490176. Its totient is φ = 11001600.

The previous prime is 45384239. The next prime is 45384277. The reversal of 45384240 is 4248354.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45384198 and 45384207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5956 + ... + 11235.

Almost surely, 245384240 is an apocalyptic number.

45384240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45384240 is an abundant number, since it is smaller than the sum of its proper divisors (108105936).

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

45384240 is a wasteful number, since it uses less digits than its factorization.

45384240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17218 (or 17212 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 45384240 is about 6736.7826148689. The cubic root of 45384240 is about 356.6988334844.

It can be divided in two parts, 4538 and 4240, that added together give a palindrome (8778).

The spelling of 45384240 in words is "forty-five million, three hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 17191 34382 51573 68764 85955 103146 137528 171910 189101 206292 257865 275056 343820 378202 412584 515730 567303 687640 756404 825168 945505 1031460 1134606 1375280 1512808 1891010 2062920 2269212 2836515 3025616 3782020 4125840 4538424 5673030 7564040 9076848 11346060 15128080 22692120 45384240