Search a number
-
+
45006354 = 2342347257
BaseRepresentation
bin1010101110101…
…1111000010010
310010200120010000
42223223320102
543010200404
64244350430
71054355601
oct253537022
9103616100
1045006354
112344aa38
12130a5416
13942a4a3
145d97a38
153e40339
hex2aebe12

45006354 has 80 divisors (see below), whose sum is σ = 107889408. Its totient is φ = 13989888.

The previous prime is 45006341. The next prime is 45006359. The reversal of 45006354 is 45360054.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45006359) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 174994 + ... + 175250.

Almost surely, 245006354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45006354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53944704).

45006354 is an abundant number, since it is smaller than the sum of its proper divisors (62883054).

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

45006354 is a wasteful number, since it uses less digits than its factorization.

45006354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45006354 is about 6708.6775149801. The cubic root of 45006354 is about 355.7060707723.

The spelling of 45006354 in words is "forty-five million, six thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 27 46 47 54 69 81 94 138 141 162 207 257 282 414 423 514 621 771 846 1081 1242 1269 1542 1863 2162 2313 2538 3243 3726 3807 4626 5911 6486 6939 7614 9729 11822 12079 13878 17733 19458 20817 24158 29187 35466 36237 41634 53199 58374 72474 87561 106398 108711 159597 175122 217422 277817 319194 326133 478791 555634 652266 833451 957582 978399 1666902 1956798 2500353 5000706 7501059 15002118 22503177 45006354