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430334740 = 22511101107181
BaseRepresentation
bin11001101001100…
…110001100010100
31002222202021021201
4121221212030110
51340131202430
6110411322244
713443533143
oct3151461424
91088667251
10430334740
11200a04950
12100150384
136b202a54
144121d75a
1527ba68ca
hex19a66314

430334740 has 96 divisors (see below), whose sum is σ = 1010475648. Its totient is φ = 152640000.

The previous prime is 430334717. The next prime is 430334767. The reversal of 430334740 is 47433034.

It is a junction number, because it is equal to n+sod(n) for n = 430334699 and 430334708.

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 31 ways as a sum of consecutive naturals, for example, 2377450 + ... + 2377630.

It is an arithmetic number, because the mean of its divisors is an integer number (10525788).

Almost surely, 2430334740 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 430334740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505237824).

430334740 is an abundant number, since it is smaller than the sum of its proper divisors (580140908).

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

430334740 is a wasteful number, since it uses less digits than its factorization.

430334740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The square root of 430334740 is about 20744.5110812475. The cubic root of 430334740 is about 754.9800383594.

Adding to 430334740 its reverse (47433034), we get a palindrome (477767774).

The spelling of 430334740 in words is "four hundred thirty million, three hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 107 110 181 202 214 220 362 404 428 505 535 724 905 1010 1070 1111 1177 1810 1991 2020 2140 2222 2354 3620 3982 4444 4708 5555 5885 7964 9955 10807 11110 11770 18281 19367 19910 21614 22220 23540 36562 38734 39820 43228 54035 73124 77468 91405 96835 108070 118877 182810 193670 201091 213037 216140 237754 365620 387340 402182 426074 475508 594385 804364 852148 1005455 1065185 1188770 1956067 2010910 2130370 2377540 3912134 4021820 4260740 7824268 9780335 19560670 21516737 39121340 43033474 86066948 107583685 215167370 430334740