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344040314120330 = 25178922738950041
BaseRepresentation
bin100111000111001110010000…
…0101101100010100010001010
31200010010221012000200210200112
41032032130200231202202022
5330043224030403322310
63215413534410034322
7132316043464110362
oct11616344055424212
91603127160623615
10344040314120330
119a692750232483
12327053991189a2
13119c7b29950479
1460d58d64299a2
1529b94288ba705
hex138e720b6288a

344040314120330 has 32 divisors (see below), whose sum is σ = 663067783224720. Its totient is φ = 128065766625280.

The previous prime is 344040314120311. The next prime is 344040314120339. The reversal of 344040314120330 is 33021413040443.

It can be written as a sum of positive squares in 8 ways, for example, as 113369192365009 + 230671121755321 = 10647497^2 + 15187861^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (344040314120339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11369459891 + ... + 11369490150.

Almost surely, 2344040314120330 is an apocalyptic number.

344040314120330 is a deficient number, since it is larger than the sum of its proper divisors (319027469104390).

344040314120330 is a wasteful number, since it uses less digits than its factorization.

344040314120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22738950154.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 344040314120330 its reverse (33021413040443), we get a palindrome (377061727160773).

The spelling of 344040314120330 in words is "three hundred forty-four trillion, forty billion, three hundred fourteen million, one hundred twenty thousand, three hundred thirty".

Divisors: 1 2 5 10 17 34 85 89 170 178 445 890 1513 3026 7565 15130 22738950041 45477900082 113694750205 227389500410 386562150697 773124301394 1932810753485 2023766553649 3865621506970 4047533107298 10118832768245 20237665536490 34404031412033 68808062824066 172020157060165 344040314120330