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434014272 = 2632753497
BaseRepresentation
bin11001110111101…
…000100001000000
31010020200012122200
4121313220201000
51342101424042
6111022233200
713520026506
oct3167504100
91106605580
10434014272
11202a9838a
12101425800
136bbc07a3
14418da676
1528181c4c
hex19de8840

434014272 has 42 divisors (see below), whose sum is σ = 1244025198. Its totient is φ = 144671232.

The previous prime is 434014247. The next prime is 434014279. The reversal of 434014272 is 272410434.

It can be written as a sum of positive squares in only one way, i.e., 346853376 + 87160896 = 18624^2 + 9336^2 .

It is not an unprimeable number, because it can be changed into a prime (434014279) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 376173 + ... + 377324.

Almost surely, 2434014272 is an apocalyptic number.

It is an amenable number.

434014272 is an abundant number, since it is smaller than the sum of its proper divisors (810010926).

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

434014272 is a wasteful number, since it uses less digits than its factorization.

434014272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753515 (or 753502 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 434014272 is about 20833.0091921450. The cubic root of 434014272 is about 757.1257269447.

The spelling of 434014272 in words is "four hundred thirty-four million, fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 753497 1506994 2260491 3013988 4520982 6027976 6781473 9041964 12055952 13562946 18083928 24111904 27125892 36167856 48223808 54251784 72335712 108503568 144671424 217007136 434014272