Search a number
-
+
34312453000 = 2353759251331
BaseRepresentation
bin11111111101001011…
…100111101110001000
310021120021221012202121
4133331023213232020
51030232441444000
623432442541024
72323203016060
oct377513475610
9107507835677
1034312453000
1113608537881
126797207774
13330a954837
1419370943a0
15d5c51cb1a
hex7fd2e7b88

34312453000 has 256 divisors, whose sum is σ = 93971404800. Its totient is φ = 11484000000.

The previous prime is 34312452997. The next prime is 34312453003. The reversal of 34312453000 is 35421343.

It is an interprime number because it is at equal distance from previous prime (34312452997) and next prime (34312453003).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34312453003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103662835 + ... + 103663165.

It is an arithmetic number, because the mean of its divisors is an integer number (367075800).

Almost surely, 234312453000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34312453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46985702400).

34312453000 is an abundant number, since it is smaller than the sum of its proper divisors (59658951800).

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

34312453000 is a wasteful number, since it uses less digits than its factorization.

34312453000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 34312453000 its reverse (35421343), we get a palindrome (34347874343).

The spelling of 34312453000 in words is "thirty-four billion, three hundred twelve million, four hundred fifty-three thousand".