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434134344 = 233719277491
BaseRepresentation
bin11001111000000…
…101110101001000
31010020220022100210
4121320011311020
51342114244334
6111025001120
713521036540
oct3170056510
91106808323
10434134344
1120306a616
121014831a0
136bc33337
144192c320
15281a75e9
hex19e05d48

434134344 has 128 divisors (see below), whose sum is σ = 1313049600. Its totient is φ = 116847360.

The previous prime is 434134343. The next prime is 434134373. The reversal of 434134344 is 443431434.

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

It is not an unprimeable number, because it can be changed into a prime (434134343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 883939 + ... + 884429.

It is an arithmetic number, because the mean of its divisors is an integer number (10258200).

Almost surely, 2434134344 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 434134344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656524800).

434134344 is an abundant number, since it is smaller than the sum of its proper divisors (878915256).

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

434134344 is a wasteful number, since it uses less digits than its factorization.

434134344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 799 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 434134344 is about 20835.8907656956. The cubic root of 434134344 is about 757.1955412526.

Adding to 434134344 its reverse (443431434), we get a palindrome (877565778).

The spelling of 434134344 in words is "four hundred thirty-four million, one hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 277 399 456 491 532 554 798 831 982 1064 1108 1473 1596 1662 1939 1964 2216 2946 3192 3324 3437 3878 3928 5263 5817 5892 6648 6874 7756 9329 10311 10526 11634 11784 13748 15512 15789 18658 20622 21052 23268 27496 27987 31578 36841 37316 41244 42104 46536 55974 63156 65303 73682 74632 82488 110523 111948 126312 130606 136007 147364 195909 221046 223896 261212 272014 294728 391818 408021 442092 522424 544028 783636 816042 884184 952049 1088056 1567272 1632084 1904098 2584133 2856147 3264168 3808196 5168266 5712294 7616392 7752399 10336532 11424588 15504798 18088931 20673064 22849176 31009596 36177862 54266793 62019192 72355724 108533586 144711448 217067172 434134344