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434425344 = 29317127131
BaseRepresentation
bin11001111001001…
…100111000000000
31010021110002112120
4121321030320000
51342203102334
6111035124240
713523361123
oct3171147000
91107402476
10434425344
11203249211
121015a3680
136c005922
14419a63ba
1528213949
hex19e4ce00

434425344 has 160 divisors (see below), whose sum is σ = 1244491776. Its totient is φ = 134184960.

The previous prime is 434425337. The next prime is 434425363. The reversal of 434425344 is 443524434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3316159 + ... + 3316289.

Almost surely, 2434425344 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 434425344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622245888).

434425344 is an abundant number, since it is smaller than the sum of its proper divisors (810066432).

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

434425344 is a wasteful number, since it uses less digits than its factorization.

434425344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its digits is 92160, while the sum is 33.

The square root of 434425344 is about 20842.8727386606. The cubic root of 434425344 is about 757.3646860436.

Adding to 434425344 its reverse (443524434), we get a palindrome (877949778).

The spelling of 434425344 in words is "four hundred thirty-four million, four hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 127 128 131 136 192 204 254 256 262 272 381 384 393 408 508 512 524 544 762 768 786 816 1016 1048 1088 1524 1536 1572 1632 2032 2096 2159 2176 2227 3048 3144 3264 4064 4192 4318 4352 4454 6096 6288 6477 6528 6681 8128 8384 8636 8704 8908 12192 12576 12954 13056 13362 16256 16637 16768 17272 17816 24384 25152 25908 26112 26724 32512 33274 33536 34544 35632 48768 49911 50304 51816 53448 65024 66548 67072 69088 71264 97536 99822 100608 103632 106896 133096 138176 142528 195072 199644 201216 207264 213792 266192 276352 282829 285056 399288 414528 427584 532384 552704 565658 570112 798576 829056 848487 855168 1064768 1105408 1131316 1140224 1597152 1658112 1696974 1710336 2129536 2262632 3194304 3316224 3393948 3420672 4259072 4525264 6388608 6787896 8518144 9050528 12777216 13575792 18101056 25554432 27151584 36202112 54303168 72404224 108606336 144808448 217212672 434425344