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3454230528 = 2133372397
BaseRepresentation
bin1100110111100011…
…0110000000000000
322220201202002111000
43031320312000000
524033240334103
61330432052000
7151412321640
oct31570660000
98821662430
103454230528
111512906581
12804994000
134308329b8
1424aa86520
151533baaa3
hexcde36000

3454230528 has 448 divisors, whose sum is σ = 12330501120. Its totient is φ = 934281216.

The previous prime is 3454230517. The next prime is 3454230539. The reversal of 3454230528 is 8250324543.

3454230528 is a `hidden beast` number, since 34 + 542 + 30 + 52 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3454230517) and next prime (3454230539).

It is a tau number, because it is divible by the number of its divisors (448).

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 = 3454230492 and 3454230501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35610576 + ... + 35610672.

It is an arithmetic number, because the mean of its divisors is an integer number (27523440).

Almost surely, 23454230528 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 3454230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165250560).

3454230528 is an abundant number, since it is smaller than the sum of its proper divisors (8876270592).

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

3454230528 is an equidigital number, since it uses as much as digits as its factorization.

3454230528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3454230528 is about 58772.7022349662. The cubic root of 3454230528 is about 1511.6471839929.

The spelling of 3454230528 in words is "three billion, four hundred fifty-four million, two hundred thirty thousand, five hundred twenty-eight".