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3037314680 = 235237146499
BaseRepresentation
bin1011010100001001…
…1011111001111000
321211200020120110022
42311002123321320
522210023032210
61221220110012
7135160514561
oct26502337170
97750216408
103037314680
111319537524
12709235308
1339534aa2a
1420b55b168
1512b9b5155
hexb509be78

3037314680 has 64 divisors (see below), whose sum is σ = 7231680000. Its totient is φ = 1145710720.

The previous prime is 3037314653. The next prime is 3037314689. The reversal of 3037314680 is 864137303.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3037314680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3037314689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42071 + ... + 88569.

It is an arithmetic number, because the mean of its divisors is an integer number (112995000).

Almost surely, 23037314680 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 3037314680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615840000).

3037314680 is an abundant number, since it is smaller than the sum of its proper divisors (4194365320).

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

3037314680 is a wasteful number, since it uses less digits than its factorization.

3037314680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46604 (or 46600 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 3037314680 is about 55111.8379297951. The cubic root of 3037314680 is about 1448.2046237180.

The spelling of 3037314680 in words is "three billion, thirty-seven million, three hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 71 92 115 142 184 230 284 355 460 568 710 920 1420 1633 2840 3266 6532 8165 13064 16330 32660 46499 65320 92998 185996 232495 371992 464990 929980 1069477 1859960 2138954 3301429 4277908 5347385 6602858 8555816 10694770 13205716 16507145 21389540 26411432 33014290 42779080 66028580 75932867 132057160 151865734 303731468 379664335 607462936 759328670 1518657340 3037314680