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34454302344 = 233371171163179
BaseRepresentation
bin100000000101101000…
…101110111010001000
310021221011211220111000
4200011220232322020
51031030300133334
623454511135000
72326544511030
oct400550567210
9107834756430
1034454302344
1113680612340
126816814460
13333115b867
14194bc5a8c0
15d69bdc299
hex805a2ee88

34454302344 has 512 divisors, whose sum is σ = 122425344000. Its totient is φ = 8720006400.

The previous prime is 34454302343. The next prime is 34454302349. The reversal of 34454302344 is 44320345443.

34454302344 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 4 + 302 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34454302299 and 34454302308.

It is not an unprimeable number, because it can be changed into a prime (34454302343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192482047 + ... + 192482225.

It is an arithmetic number, because the mean of its divisors is an integer number (239112000).

Almost surely, 234454302344 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 34454302344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61212672000).

34454302344 is an abundant number, since it is smaller than the sum of its proper divisors (87971041656).

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

34454302344 is a wasteful number, since it uses less digits than its factorization.

34454302344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 34454302344 its reverse (44320345443), we get a palindrome (78774647787).

The spelling of 34454302344 in words is "thirty-four billion, four hundred fifty-four million, three hundred two thousand, three hundred forty-four".