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45343120 = 24519231297
BaseRepresentation
bin1010110011111…
…0000110010000
310011022200001211
42230332012100
543101434440
64255505504
71060260454
oct254760620
9104280054
1045343120
112365aa59
1213228294
139517864
146044664
153ea9eea
hex2b3e190

45343120 has 80 divisors (see below), whose sum is σ = 115885440. Its totient is φ = 16422912.

The previous prime is 45343117. The next prime is 45343157. The reversal of 45343120 is 2134354.

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

It is a junction number, because it is equal to n+sod(n) for n = 45343091 and 45343100.

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, 34312 + ... + 35608.

It is an arithmetic number, because the mean of its divisors is an integer number (1448568).

Almost surely, 245343120 is an apocalyptic number.

45343120 is a gapful number since it is divisible by the number (40) 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 45343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57942720).

45343120 is an abundant number, since it is smaller than the sum of its proper divisors (70542320).

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

45343120 is a wasteful number, since it uses less digits than its factorization.

45343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 45343120 is about 6733.7300213181. The cubic root of 45343120 is about 356.5910729634.

Adding to 45343120 its reverse (2134354), we get a palindrome (47477474).

The spelling of 45343120 in words is "forty-five million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 760 874 920 1297 1520 1748 1840 2185 2594 3496 4370 5188 6485 6992 8740 10376 12970 17480 20752 24643 25940 29831 34960 49286 51880 59662 98572 103760 119324 123215 149155 197144 238648 246430 298310 394288 477296 492860 566789 596620 985720 1133578 1193240 1971440 2267156 2386480 2833945 4534312 5667890 9068624 11335780 22671560 45343120