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344214411336 = 233242841111593
BaseRepresentation
bin1010000001001001100…
…01110001100001001000
31012220110220010211202100
411000210301301201020
521114422342130321
6422044021233400
733603645135555
oct5004461614110
91186426124670
10344214411336
11122a87074a14
1256864862860
13265c8064593
1412935317a2c
158e49170326
hex5024c71848

344214411336 has 48 divisors (see below), whose sum is σ = 932277478860. Its totient is φ = 114734430720.

The previous prime is 344214411319. The next prime is 344214411337. The reversal of 344214411336 is 633114412443.

It can be written as a sum of positive squares in 2 ways, for example, as 263791123236 + 80423288100 = 513606^2 + 283590^2 .

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 344214411336.

It is not an unprimeable number, because it can be changed into a prime (344214411337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3028756 + ... + 3140348.

Almost surely, 2344214411336 is an apocalyptic number.

344214411336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

344214411336 is an abundant number, since it is smaller than the sum of its proper divisors (588063067524).

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

344214411336 is a wasteful number, since it uses less digits than its factorization.

344214411336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154446 (or 154439 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 344214411336 its reverse (633114412443), we get a palindrome (977328823779).

The spelling of 344214411336 in words is "three hundred forty-four billion, two hundred fourteen million, four hundred eleven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 42841 85682 111593 128523 171364 223186 257046 334779 342728 385569 446372 514092 669558 771138 892744 1004337 1028184 1339116 1542276 2008674 2678232 3084552 4017348 8034696 4780755713 9561511426 14342267139 19123022852 28684534278 38246045704 43026801417 57369068556 86053602834 114738137112 172107205668 344214411336