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3454334048 = 251129333493
BaseRepresentation
bin1100110111100100…
…1111010001100000
322220201221100111002
43031321033101200
524033302142143
61330434211132
7151413232514
oct31571172140
98821840432
103454334048
111512977330
12804a23aa8
1343086ab59
1424aab2144
151533db5b8
hexcde4f460

3454334048 has 48 divisors (see below), whose sum is σ = 7444510416. Its totient is φ = 1564746240.

The previous prime is 3454334041. The next prime is 3454334069. The reversal of 3454334048 is 8404334543.

3454334048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3454334041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86390 + ... + 119882.

It is an arithmetic number, because the mean of its divisors is an integer number (155093967).

Almost surely, 23454334048 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 3454334048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722255208).

3454334048 is an abundant number, since it is smaller than the sum of its proper divisors (3990176368).

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

3454334048 is a wasteful number, since it uses less digits than its factorization.

3454334048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33807 (or 33799 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

The square root of 3454334048 is about 58773.5829093310. The cubic root of 3454334048 is about 1511.6622847176.

The spelling of 3454334048 in words is "three billion, four hundred fifty-four million, three hundred thirty-four thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 293 352 586 1172 2344 3223 4688 6446 9376 12892 25784 33493 51568 66986 103136 133972 267944 368423 535888 736846 1071776 1473692 2947384 5894768 9813449 11789536 19626898 39253796 78507592 107947939 157015184 215895878 314030368 431791756 863583512 1727167024 3454334048