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374505472 = 215111039
BaseRepresentation
bin10110010100101…
…000000000000000
3222002200211221001
4112110220000000
51231333133342
6101054541344
712165146455
oct2624500000
9862624831
10374505472
11182442560
12a5507854
135c786293
1437a4982c
1522d298b7
hex16528000

374505472 has 64 divisors (see below), whose sum is σ = 817876800. Its totient is φ = 170065920.

The previous prime is 374505433. The next prime is 374505479. The reversal of 374505472 is 274505473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (374505479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 359929 + ... + 360967.

It is an arithmetic number, because the mean of its divisors is an integer number (12779325).

Almost surely, 2374505472 is an apocalyptic number.

374505472 is a gapful number since it is divisible by the number (32) 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 374505472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408938400).

374505472 is an abundant number, since it is smaller than the sum of its proper divisors (443371328).

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

374505472 is an equidigital number, since it uses as much as digits as its factorization.

374505472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 37.

The square root of 374505472 is about 19352.1438605649. The cubic root of 374505472 is about 720.8076533543.

Subtracting from 374505472 its reverse (274505473), we obtain a palindrome (99999999).

The spelling of 374505472 in words is "three hundred seventy-four million, five hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1039 1408 2048 2078 2816 4096 4156 5632 8192 8312 11264 11429 16384 16624 22528 22858 32768 33248 45056 45716 66496 90112 91432 132992 180224 182864 265984 360448 365728 531968 731456 1063936 1462912 2127872 2925824 4255744 5851648 8511488 11703296 17022976 23406592 34045952 46813184 93626368 187252736 374505472