Search a number
-
+
34344313400 = 2352587292541
BaseRepresentation
bin11111111111000101…
…001010001000111000
310021122111212220000102
4133333011022020320
51030314121012100
623435541454532
72324040563405
oct377705121070
9107574786012
1034344313400
1113624518a91
1267a5a11448
13331442b547
14193b3c92ac
15d60212cd5
hex7ff14a238

34344313400 has 48 divisors (see below), whose sum is σ = 79986833640. Its totient is φ = 13714275200.

The previous prime is 34344313373. The next prime is 34344313429. The reversal of 34344313400 is 431344343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28871 + ... + 263670.

Almost surely, 234344313400 is an apocalyptic number.

It is an amenable number.

34344313400 is an abundant number, since it is smaller than the sum of its proper divisors (45642520240).

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

34344313400 is a wasteful number, since it uses less digits than its factorization.

34344313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293144 (or 293135 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 34344313400 its reverse (431344343), we get a palindrome (34775657743).

The spelling of 34344313400 in words is "thirty-four billion, three hundred forty-four million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 587 1174 2348 2935 4696 5870 11740 14675 23480 29350 58700 117400 292541 585082 1170164 1462705 2340328 2925410 5850820 7313525 11701640 14627050 29254100 58508200 171721567 343443134 686886268 858607835 1373772536 1717215670 3434431340 4293039175 6868862680 8586078350 17172156700 34344313400