Search a number
-
+
78347430 = 23257235407
BaseRepresentation
bin1001010101101…
…11110010100110
312110102110110200
410222313302212
5130024104210
611435131330
71640641110
oct452676246
9173373420
1078347430
1140252647
12222a3b46
1313302135
14a5963b0
156d290c0
hex4ab7ca6

78347430 has 96 divisors (see below), whose sum is σ = 242970624. Its totient is φ = 17126208.

The previous prime is 78347429. The next prime is 78347483. The reversal of 78347430 is 3474387.

It is a super-2 number, since 2×783474302 = 12276639575209800, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11787 + ... + 17193.

It is an arithmetic number, because the mean of its divisors is an integer number (2530944).

Almost surely, 278347430 is an apocalyptic number.

78347430 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78347430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121485312).

78347430 is an abundant number, since it is smaller than the sum of its proper divisors (164623194).

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

78347430 is a wasteful number, since it uses less digits than its factorization.

78347430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 78347430 is about 8851.4083625150. The cubic root of 78347430 is about 427.8993088605.

The spelling of 78347430 in words is "seventy-eight million, three hundred forty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 161 207 210 230 315 322 345 414 483 630 690 805 966 1035 1449 1610 2070 2415 2898 4830 5407 7245 10814 14490 16221 27035 32442 37849 48663 54070 75698 81105 97326 113547 124361 162210 189245 227094 243315 248722 340641 373083 378490 486630 567735 621805 681282 746166 870527 1119249 1135470 1243610 1703205 1741054 1865415 2238498 2611581 3406410 3730830 4352635 5223162 5596245 7834743 8705270 11192490 13057905 15669486 26115810 39173715 78347430