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438343668 = 223271998741
BaseRepresentation
bin11010001000001…
…001011111110100
31010112211011110200
4122020021133310
51344203444133
6111255120500
713601600610
oct3210113764
91115734420
10438343668
112054850a4
12102973130
136ca78269
1442306340
1528739913
hex1a2097f4

438343668 has 72 divisors (see below), whose sum is σ = 1272835200. Its totient is φ = 124597440.

The previous prime is 438343643. The next prime is 438343673. The reversal of 438343668 is 866343834.

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, 45778 + ... + 54518.

Almost surely, 2438343668 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 438343668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636417600).

438343668 is an abundant number, since it is smaller than the sum of its proper divisors (834491532).

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

438343668 is a wasteful number, since it uses less digits than its factorization.

438343668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8957 (or 8952 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 438343668 is about 20936.6584726408. The cubic root of 438343668 is about 759.6349054353.

The spelling of 438343668 in words is "four hundred thirty-eight million, three hundred forty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 398 597 796 1194 1393 1791 2388 2786 3582 4179 5572 7164 8358 8741 12537 16716 17482 25074 26223 34964 50148 52446 61187 78669 104892 122374 157338 183561 244748 314676 367122 550683 734244 1101366 1739459 2202732 3478918 5218377 6957836 10436754 12176213 15655131 20873508 24352426 31310262 36528639 48704852 62620524 73057278 109585917 146114556 219171834 438343668