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78343944 = 2337331307
BaseRepresentation
bin1001010101101…
…10111100001000
312110102021200120
410222312330020
5130024001234
611435103240
71640625000
oct452667410
9173367616
1078343944
114024aa68
12222a1b20
1313300683
14a595000
156d28049
hex4ab6f08

78343944 has 128 divisors (see below), whose sum is σ = 236544000. Its totient is φ = 21591360.

The previous prime is 78343943. The next prime is 78343981. The reversal of 78343944 is 44934387.

It is a super-2 number, since 2×783439442 = 12275547122950272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 78343896 and 78343905.

It is not an unprimeable number, because it can be changed into a prime (78343943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255039 + ... + 255345.

It is an arithmetic number, because the mean of its divisors is an integer number (1848000).

Almost surely, 278343944 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 78343944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118272000).

78343944 is an abundant number, since it is smaller than the sum of its proper divisors (158200056).

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

78343944 is a wasteful number, since it uses less digits than its factorization.

78343944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 350 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 78343944 is about 8851.2114425089. The cubic root of 78343944 is about 427.8929624319.

The spelling of 78343944 in words is "seventy-eight million, three hundred forty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 294 307 343 372 392 434 588 614 651 686 744 868 921 1029 1176 1228 1302 1372 1519 1736 1842 2058 2149 2456 2604 2744 3038 3684 4116 4298 4557 5208 6076 6447 7368 8232 8596 9114 9517 10633 12152 12894 15043 17192 18228 19034 21266 25788 28551 30086 31899 36456 38068 42532 45129 51576 57102 60172 63798 66619 76136 85064 90258 105301 114204 120344 127596 133238 180516 199857 210602 228408 255192 266476 315903 361032 399714 421204 466333 532952 631806 799428 842408 932666 1263612 1398999 1598856 1865332 2527224 2797998 3264331 3730664 5595996 6528662 9792993 11191992 13057324 19585986 26114648 39171972 78343944