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2706378320 = 245371914787
BaseRepresentation
bin1010000101010000…
…0000111001010000
320222121112021010002
42201110000321100
521020313101240
61124315025132
7124031556542
oct24124007120
96877467102
102706378320
1111697530a8
1263643b1a8
1334190a9b9
141b9613692
1510c8e4d15
hexa1500e50

2706378320 has 80 divisors (see below), whose sum is σ = 6497584128. Its totient is φ = 1047559680.

The previous prime is 2706378319. The next prime is 2706378343. The reversal of 2706378320 is 238736072.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×27063783202 = 14648967221932044800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562967 + ... + 567753.

Almost surely, 22706378320 is an apocalyptic number.

2706378320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2706378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248792064).

2706378320 is an abundant number, since it is smaller than the sum of its proper divisors (3791205808).

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

2706378320 is a wasteful number, since it uses less digits than its factorization.

2706378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 2706378320 is about 52022.8634352243. The cubic root of 2706378320 is about 1393.5722892189.

The spelling of 2706378320 in words is "two billion, seven hundred six million, three hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 191 296 370 382 592 740 764 955 1480 1528 1910 2960 3056 3820 4787 7067 7640 9574 14134 15280 19148 23935 28268 35335 38296 47870 56536 70670 76592 95740 113072 141340 177119 191480 282680 354238 382960 565360 708476 885595 914317 1416952 1771190 1828634 2833904 3542380 3657268 4571585 7084760 7314536 9143170 14169520 14629072 18286340 33829729 36572680 67659458 73145360 135318916 169148645 270637832 338297290 541275664 676594580 1353189160 2706378320