Search a number
-
+
445150320 = 24351854793
BaseRepresentation
bin11010100010000…
…111010001110000
31011000121222102220
4122202013101300
51402424302240
6112101041040
714013500226
oct3242072160
91130558386
10445150320
1120930402a
121050b6180
13712bc474
1443198b16
15291315d0
hex1a887470

445150320 has 40 divisors (see below), whose sum is σ = 1379966736. Its totient is φ = 118706688.

The previous prime is 445150313. The next prime is 445150327. The reversal of 445150320 is 23051544.

It is an interprime number because it is at equal distance from previous prime (445150313) and next prime (445150327).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4451503202 = 396317614792204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445150327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927157 + ... + 927636.

Almost surely, 2445150320 is an apocalyptic number.

445150320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445150320 is an abundant number, since it is smaller than the sum of its proper divisors (934816416).

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

445150320 is a wasteful number, since it uses less digits than its factorization.

445150320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854809 (or 1854803 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 445150320 is about 21098.5857345937. The cubic root of 445150320 is about 763.5466275712.

The spelling of 445150320 in words is "four hundred forty-five million, one hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1854793 3709586 5564379 7419172 9273965 11128758 14838344 18547930 22257516 27821895 29676688 37095860 44515032 55643790 74191720 89030064 111287580 148383440 222575160 445150320