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434225928 = 23331267281
BaseRepresentation
bin11001111000011…
…100001100001000
31010021001221222210
4121320130030020
51342130212203
6111030545120
713521600543
oct3170341410
91107057883
10434225928
11203122404
121015081a0
136bc65c26
144195385a
15281c4803
hex19e1c308

434225928 has 96 divisors (see below), whose sum is σ = 1142506080. Its totient is φ = 137491200.

The previous prime is 434225923. The next prime is 434225941. The reversal of 434225928 is 829522434.

It is a super-2 number, since 2×4342259282 = 377104313094922368, which contains 22 as substring.

Its product of digits (138240) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (434225923) 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, 1545148 + ... + 1545428.

It is an arithmetic number, because the mean of its divisors is an integer number (11901105).

Almost surely, 2434225928 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 434225928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571253040).

434225928 is an abundant number, since it is smaller than the sum of its proper divisors (708280152).

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

434225928 is a wasteful number, since it uses less digits than its factorization.

434225928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 384 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 434225928 is about 20838.0883960118. The cubic root of 434225928 is about 757.2487829288.

The spelling of 434225928 in words is "four hundred thirty-four million, two hundred twenty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 67 93 124 134 186 201 248 268 281 372 402 536 562 744 804 843 961 1124 1608 1686 1922 2077 2248 2883 3372 3844 4154 5766 6231 6744 7688 8308 8711 11532 12462 16616 17422 18827 23064 24924 26133 34844 37654 49848 52266 56481 64387 69688 75308 104532 112962 128774 150616 193161 209064 225924 257548 270041 386322 451848 515096 540082 583637 772644 810123 1080164 1167274 1545288 1620246 1750911 2160328 2334548 3240492 3501822 4669096 6480984 7003644 14007288 18092747 36185494 54278241 72370988 108556482 144741976 217112964 434225928