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2940429984 = 253127241177
BaseRepresentation
bin1010111101000011…
…0110011010100000
321120220221022122020
42233100312122200
522010222224414
61203435341440
7132603146112
oct25720663240
97526838566
102940429984
111279883628
126a08b1880
1337b2581cb
141dc73b3b2
151232287a9
hexaf4366a0

2940429984 has 48 divisors (see below), whose sum is σ = 7779437568. Its totient is φ = 972421632.

The previous prime is 2940429931. The next prime is 2940429991. The reversal of 2940429984 is 4899240492.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×29404299842 = 17292256981612480512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108397 + ... + 132780.

It is an arithmetic number, because the mean of its divisors is an integer number (162071616).

Almost surely, 22940429984 is an apocalyptic number.

2940429984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2940429984 is an abundant number, since it is smaller than the sum of its proper divisors (4839007584).

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

2940429984 is a wasteful number, since it uses less digits than its factorization.

2940429984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241317 (or 241309 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 2940429984 is about 54225.7317516325. The cubic root of 2940429984 is about 1432.6395871641.

The spelling of 2940429984 in words is "two billion, nine hundred forty million, four hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 12192 241177 482354 723531 964708 1447062 1929416 2894124 3858832 5788248 7717664 11576496 23152992 30629479 61258958 91888437 122517916 183776874 245035832 367553748 490071664 735107496 980143328 1470214992 2940429984