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2940014208 = 273313257
BaseRepresentation
bin1010111100111101…
…0000111010000000
321120220011012022010
42233033100322000
522010120423313
61203422412520
7132566464665
oct25717207200
97526135263
102940014208
11127961a20a
126a0731140
1337b140ba1
141dc66da6c
151231954c3
hexaf3d0e80

2940014208 has 128 divisors (see below), whose sum is σ = 8101117440. Its totient is φ = 944701440.

The previous prime is 2940014201. The next prime is 2940014213. The reversal of 2940014208 is 8024100492.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2940014201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11439616 + ... + 11439872.

It is an arithmetic number, because the mean of its divisors is an integer number (63289980).

Almost surely, 22940014208 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 2940014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050558720).

2940014208 is an abundant number, since it is smaller than the sum of its proper divisors (5161103232).

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

2940014208 is an frugal number, since it uses more digits than its factorization.

2940014208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2940014208 is about 54221.8978642393. The cubic root of 2940014208 is about 1432.5720590318.

The spelling of 2940014208 in words is "two billion, nine hundred forty million, fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 257 372 384 496 514 744 771 961 992 1028 1488 1542 1922 1984 2056 2883 2976 3084 3844 3968 4112 5766 5952 6168 7688 7967 8224 11532 11904 12336 15376 15934 16448 23064 23901 24672 29791 30752 31868 32896 46128 47802 49344 59582 61504 63736 89373 92256 95604 98688 119164 123008 127472 178746 184512 191208 238328 246977 254944 357492 369024 382416 476656 493954 509888 714984 740931 764832 953312 987908 1019776 1429968 1481862 1529664 1906624 1975816 2859936 2963724 3059328 3813248 3951632 5719872 5927448 7656287 7903264 11439744 11854896 15312574 15806528 22968861 23709792 30625148 31613056 45937722 47419584 61250296 91875444 94839168 122500592 183750888 245001184 367501776 490002368 735003552 980004736 1470007104 2940014208