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434953216 = 2102331823
BaseRepresentation
bin11001111011001…
…101110000000000
31010022102220122101
4121323031300000
51342322000331
6111054320144
713531020115
oct3173156000
91108386571
10434953216
11203579875
121017b9054
136c15bc89
1441aa290c
15282ba061
hex19ecdc00

434953216 has 44 divisors (see below), whose sum is σ = 873692352. Its totient is φ = 216424448.

The previous prime is 434953193. The next prime is 434953229. The reversal of 434953216 is 612359434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237681 + ... + 239503.

Almost surely, 2434953216 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 434953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436846176).

434953216 is an abundant number, since it is smaller than the sum of its proper divisors (438739136).

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

434953216 is a wasteful number, since it uses less digits than its factorization.

434953216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2058 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 434953216 is about 20855.5320239020. The cubic root of 434953216 is about 757.6713208481.

The spelling of 434953216 in words is "four hundred thirty-four million, nine hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 512 932 1024 1823 1864 3646 3728 7292 7456 14584 14912 29168 29824 58336 59648 116672 119296 233344 238592 424759 466688 849518 933376 1699036 1866752 3398072 6796144 13592288 27184576 54369152 108738304 217476608 434953216