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194311296 = 2732168673
BaseRepresentation
bin10111001010011…
…11010010000000
3111112122000222200
423211033102000
5344220430141
631140433200
74546422144
oct1345172200
9445560880
10194311296
119a757a53
12550a8800
1331344bca
141bb41224
15120d3ab6
hexb94f480

194311296 has 48 divisors (see below), whose sum is σ = 559154310. Its totient is φ = 64770048.

The previous prime is 194311289. The next prime is 194311333. The reversal of 194311296 is 692113491.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 119246400 + 75064896 = 10920^2 + 8664^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 194311296.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83185 + ... + 85488.

Almost surely, 2194311296 is an apocalyptic number.

194311296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

194311296 is an abundant number, since it is smaller than the sum of its proper divisors (364843014).

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

194311296 is a wasteful number, since it uses less digits than its factorization.

194311296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168693 (or 168678 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 194311296 is about 13939.5586730714. The cubic root of 194311296 is about 579.2055075125.

The spelling of 194311296 in words is "one hundred ninety-four million, three hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 168673 337346 506019 674692 1012038 1349384 1518057 2024076 2698768 3036114 4048152 5397536 6072228 8096304 10795072 12144456 16192608 21590144 24288912 32385216 48577824 64770432 97155648 194311296