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344200140 = 2232513913757
BaseRepresentation
bin10100100001000…
…001001111001100
3212222200011211100
4110201001033030
51201103401030
654053223100
711346436644
oct2441011714
9788604740
10344200140
11167323729
1297331a90
135640532b
14339db524
1520340360
hex148413cc

344200140 has 72 divisors (see below), whose sum is σ = 1051661520. Its totient is φ = 91119744.

The previous prime is 344200133. The next prime is 344200141. The reversal of 344200140 is 41002443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (344200141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18142 + ... + 31898.

It is an arithmetic number, because the mean of its divisors is an integer number (14606410).

Almost surely, 2344200140 is an apocalyptic number.

344200140 is a gapful number since it is divisible by the number (30) 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 344200140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525830760).

344200140 is an abundant number, since it is smaller than the sum of its proper divisors (707461380).

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

344200140 is a wasteful number, since it uses less digits than its factorization.

344200140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13911 (or 13906 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 344200140 is about 18552.6316192609. The cubic root of 344200140 is about 700.8154714089.

Adding to 344200140 its reverse (41002443), we get a palindrome (385202583).

The spelling of 344200140 in words is "three hundred forty-four million, two hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1668 2085 2502 2780 4170 5004 6255 8340 12510 13757 25020 27514 41271 55028 68785 82542 123813 137570 165084 206355 247626 275140 412710 495252 619065 825420 1238130 1912223 2476260 3824446 5736669 7648892 9561115 11473338 17210007 19122230 22946676 28683345 34420014 38244460 57366690 68840028 86050035 114733380 172100070 344200140