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78344496 = 243461991
BaseRepresentation
bin1001010101101…
…11000100110000
312110102022110000
410222313010300
5130024010441
611435110000
71640626416
oct452670460
9173368400
1078344496
114025041a
12222a2300
13133009b9
14a5952b6
156d282b6
hex4ab7130

78344496 has 100 divisors (see below), whose sum is σ = 230701504. Its totient is φ = 25660800.

The previous prime is 78344489. The next prime is 78344501. The reversal of 78344496 is 69444387.

It is a super-2 number, since 2×783444962 = 12275720106988032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78561 + ... + 79551.

Almost surely, 278344496 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 78344496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115350752).

78344496 is an abundant number, since it is smaller than the sum of its proper divisors (152357008).

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

78344496 is a wasteful number, since it uses less digits than its factorization.

78344496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1057 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 78344496 is about 8851.2426246262. The cubic root of 78344496 is about 427.8939673867.

The spelling of 78344496 in words is "seventy-eight million, three hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 244 324 366 432 488 549 648 732 976 991 1098 1296 1464 1647 1982 2196 2928 2973 3294 3964 4392 4941 5946 6588 7928 8784 8919 9882 11892 13176 15856 17838 19764 23784 26352 26757 35676 39528 47568 53514 60451 71352 79056 80271 107028 120902 142704 160542 181353 214056 241804 321084 362706 428112 483608 544059 642168 725412 967216 1088118 1284336 1450824 1632177 2176236 2901648 3264354 4352472 4896531 6528708 8704944 9793062 13057416 19586124 26114832 39172248 78344496