Search a number
-
+
34400016350 = 2527214040823
BaseRepresentation
bin100000000010011001…
…101001011111011110
310021210101200220002122
4200002121221133132
51030422401010400
623445251422542
72325315212600
oct400231513736
9107711626078
1034400016350
1113652a04487
1268005b4a52
133322b3267b
141944969170
15d65067685
hex8026697de

34400016350 has 36 divisors (see below), whose sum is σ = 74430408024. Its totient is φ = 11794290480.

The previous prime is 34400016317. The next prime is 34400016367. The reversal of 34400016350 is 5361000443.

It is a super-2 number, since 2×344000163502 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7017962 + ... + 7022861.

It is an arithmetic number, because the mean of its divisors is an integer number (2067511334).

Almost surely, 234400016350 is an apocalyptic number.

34400016350 is an abundant number, since it is smaller than the sum of its proper divisors (40030391674).

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

34400016350 is a wasteful number, since it uses less digits than its factorization.

34400016350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14040849 (or 14040837 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 34400016350 its reverse (5361000443), we get a palindrome (39761016793).

The spelling of 34400016350 in words is "thirty-four billion, four hundred million, sixteen thousand, three hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 1225 2450 14040823 28081646 70204115 98285761 140408230 196571522 351020575 491428805 688000327 702041150 982857610 1376000654 2457144025 3440001635 4914288050 6880003270 17200008175 34400016350