Search a number
-
+
2934206480 = 245194344893
BaseRepresentation
bin1010111011100100…
…0111000000010000
321120111020010121002
42232321013000100
522002124101410
61203054121132
7132466225562
oct25671070020
97514203532
102934206480
111276312837
1269a7b01a8
13379b8956a
141db99b332
151228e97a5
hexaee47010

2934206480 has 80 divisors (see below), whose sum is σ = 7348249920. Its totient is φ = 1086027264.

The previous prime is 2934206459. The next prime is 2934206497. The reversal of 2934206480 is 846024392.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42914 + ... + 87806.

It is an arithmetic number, because the mean of its divisors is an integer number (91853124).

Almost surely, 22934206480 is an apocalyptic number.

2934206480 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 2934206480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674124960).

2934206480 is an abundant number, since it is smaller than the sum of its proper divisors (4414043440).

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

2934206480 is a wasteful number, since it uses less digits than its factorization.

2934206480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44968 (or 44962 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 2934206480 is about 54168.3162005245. The cubic root of 2934206480 is about 1431.6281323761.

The spelling of 2934206480 in words is "two billion, nine hundred thirty-four million, two hundred six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 76 80 86 95 152 172 190 215 304 344 380 430 688 760 817 860 1520 1634 1720 3268 3440 4085 6536 8170 13072 16340 32680 44893 65360 89786 179572 224465 359144 448930 718288 852967 897860 1705934 1795720 1930399 3411868 3591440 3860798 4264835 6823736 7721596 8529670 9651995 13647472 15443192 17059340 19303990 30886384 34118680 36677581 38607980 68237360 73355162 77215960 146710324 154431920 183387905 293420648 366775810 586841296 733551620 1467103240 2934206480