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434363328 = 26327176337
BaseRepresentation
bin11001111000111…
…101101111000000
31010021022221110200
4121320331233000
51342144111303
6111033525200
713523012250
oct3170755700
91107287420
10434363328
11203206663
12101573800
136bcb3629
144198b960
15282003a3
hex19e3dbc0

434363328 has 168 divisors, whose sum is σ = 1506821472. Its totient is φ = 116785152.

The previous prime is 434363309. The next prime is 434363329. The reversal of 434363328 is 823363434.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×4343633282 = 377343001422471168, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 434363292 and 434363301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434363329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65376 + ... + 71712.

Almost surely, 2434363328 is an apocalyptic number.

434363328 is a gapful number since it is divisible by the number (48) 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 434363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753410736).

434363328 is an abundant number, since it is smaller than the sum of its proper divisors (1072458144).

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

434363328 is a wasteful number, since it uses less digits than its factorization.

434363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6379 (or 6366 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 434363328 is about 20841.3849827693. The cubic root of 434363328 is about 757.3286453566.

It can be divided in two parts, 43436 and 3328, that added together give a palindrome (46764).

The spelling of 434363328 in words is "four hundred thirty-four million, three hundred sixty-three thousand, three hundred twenty-eight".