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78434968 = 23233741281
BaseRepresentation
bin1001010110011…
…01001010011000
312110120220112211
410223031022120
5130034404333
611441044504
71641454243
oct453151230
9173526484
1078434968
1140302397
1222326734
1313332c31
14a5ba25a
156d44ecd
hex4acd298

78434968 has 64 divisors (see below), whose sum is σ = 162025920. Its totient is φ = 35481600.

The previous prime is 78434947. The next prime is 78434969. The reversal of 78434968 is 86943487.

It is a super-2 number, since 2×784349682 = 12304088410322048, which contains 22 as substring.

Its product of digits (1161216) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78434969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278988 + ... + 279268.

It is an arithmetic number, because the mean of its divisors is an integer number (2531655).

Almost surely, 278434968 is an apocalyptic number.

It is an amenable number.

78434968 is an abundant number, since it is smaller than the sum of its proper divisors (83590952).

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

78434968 is a wasteful number, since it uses less digits than its factorization.

78434968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 49.

The square root of 78434968 is about 8856.3518448625. The cubic root of 78434968 is about 428.0586142684.

The spelling of 78434968 in words is "seventy-eight million, four hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 23 37 41 46 74 82 92 148 164 184 281 296 328 562 851 943 1124 1517 1702 1886 2248 3034 3404 3772 6068 6463 6808 7544 10397 11521 12136 12926 20794 23042 25852 34891 41588 46084 51704 69782 83176 92168 139564 239131 264983 279128 426277 478262 529966 852554 956524 1059932 1705108 1913048 2119864 3410216 9804371 19608742 39217484 78434968