Search a number
-
+
434716038 = 2333128377
BaseRepresentation
bin11001111010010…
…011110110000110
31010021222212022000
4121322103312012
51342241403123
6111045250130
713526011461
oct3172236606
91107885260
10434716038
11203427659
12101703946
136c0a8033
1441a402d8
152826eb43
hex19e93d86

434716038 has 48 divisors (see below), whose sum is σ = 998322480. Its totient is φ = 140214240.

The previous prime is 434716013. The next prime is 434716043. The reversal of 434716038 is 830617434.

434716038 is a `hidden beast` number, since 4 + 3 + 47 + 1 + 603 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 434715993 and 434716011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47706 + ... + 56082.

It is an arithmetic number, because the mean of its divisors is an integer number (20798385).

Almost surely, 2434716038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434716038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499161240).

434716038 is an abundant number, since it is smaller than the sum of its proper divisors (563606442).

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

434716038 is a wasteful number, since it uses less digits than its factorization.

434716038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8450 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 434716038 is about 20849.8450353953. The cubic root of 434716038 is about 757.5335775725.

The spelling of 434716038 in words is "four hundred thirty-four million, seven hundred sixteen thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 961 1674 1922 2883 5766 8377 8649 16754 17298 25131 25947 50262 51894 75393 150786 226179 259687 452358 519374 779061 1558122 2337183 4674366 7011549 8050297 14023098 16100594 24150891 48301782 72452673 144905346 217358019 434716038