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434111430 = 235192333113
BaseRepresentation
bin11001111000000…
…000001111000110
31010020212010221010
4121320000033012
51342113031210
6111024303050
713520612664
oct3170001706
91106763833
10434111430
11203054385
12101471a86
136bc25a8c
1441923c34
15281a0920
hex19e003c6

434111430 has 64 divisors (see below), whose sum is σ = 1144419840. Its totient is φ = 104898816.

The previous prime is 434111423. The next prime is 434111459. The reversal of 434111430 is 34111434.

It is a junction number, because it is equal to n+sod(n) for n = 434111397 and 434111406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3447 + ... + 29666.

It is an arithmetic number, because the mean of its divisors is an integer number (17881560).

Almost surely, 2434111430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434111430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572209920).

434111430 is an abundant number, since it is smaller than the sum of its proper divisors (710308410).

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

434111430 is a wasteful number, since it uses less digits than its factorization.

434111430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33165.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 434111430 is about 20835.3408899399. The cubic root of 434111430 is about 757.1822191983.

Adding to 434111430 its reverse (34111434), we get a palindrome (468222864).

The spelling of 434111430 in words is "four hundred thirty-four million, one hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 95 114 115 138 190 230 285 345 437 570 690 874 1311 2185 2622 4370 6555 13110 33113 66226 99339 165565 198678 331130 496695 629147 761599 993390 1258294 1523198 1887441 2284797 3145735 3774882 3807995 4569594 6291470 7615990 9437205 11423985 14470381 18874410 22847970 28940762 43411143 72351905 86822286 144703810 217055715 434111430