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293380000 = 255414669
BaseRepresentation
bin10001011111001…
…001111110100000
3202110001020200221
4101133021332200
51100101130000
645040052424
710161455164
oct2137117640
9673036627
10293380000
11140672811
1282304114
1348a20844
142ad6cca4
151ab5261a
hex117c9fa0

293380000 has 60 divisors (see below), whose sum is σ = 721808010. Its totient is φ = 117344000.

The previous prime is 293379997. The next prime is 293380027. The reversal of 293380000 is 83392.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 9659664 + 283720336 = 3108^2 + 16844^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12666 + ... + 27334.

Almost surely, 2293380000 is an apocalyptic number.

293380000 is a gapful number since it is divisible by the number (20) 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 293380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360904005).

293380000 is an abundant number, since it is smaller than the sum of its proper divisors (428428010).

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

293380000 is an equidigital number, since it uses as much as digits as its factorization.

293380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14699 (or 14676 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 293380000 is about 17128.3390905248. The cubic root of 293380000 is about 664.4722290352.

The spelling of 293380000 in words is "two hundred ninety-three million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 14669 20000 29338 58676 73345 117352 146690 234704 293380 366725 469408 586760 733450 1173520 1466900 1833625 2347040 2933800 3667250 5867600 7334500 9168125 11735200 14669000 18336250 29338000 36672500 58676000 73345000 146690000 293380000