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3454103328 = 25313193137127
BaseRepresentation
bin1100110111100001…
…0110111100100000
322220201111121222220
43031320112330200
524033222301303
61330425231040
7151411252044
oct31570267440
98821447886
103454103328
111512829a55
12804932480
134307b9b30
1424aa52024
15153393053
hexcde16f20

3454103328 has 384 divisors, whose sum is σ = 10982522880. Its totient is φ = 940584960.

The previous prime is 3454103287. The next prime is 3454103329. The reversal of 3454103328 is 8233014543.

3454103328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3454103329) 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, 27197601 + ... + 27197727.

It is an arithmetic number, because the mean of its divisors is an integer number (28600320).

Almost surely, 23454103328 is an apocalyptic number.

3454103328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3454103328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491261440).

3454103328 is an abundant number, since it is smaller than the sum of its proper divisors (7528419552).

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

3454103328 is a wasteful number, since it uses less digits than its factorization.

3454103328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 3454103328 is about 58771.6200899720. The cubic root of 3454103328 is about 1511.6286285934.

The spelling of 3454103328 in words is "three billion, four hundred fifty-four million, one hundred three thousand, three hundred twenty-eight".