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2942342064 = 243353128509
BaseRepresentation
bin1010111101100000…
…1001001110110000
321121001112110112000
42233120021032300
522011214421224
61203544334000
7132625331514
oct25730111660
97531473460
102942342064
11127a96a162
126a1474300
1337b77760c
141dcab8144
151234a50c9
hexaf6093b0

2942342064 has 80 divisors (see below), whose sum is σ = 8605029600. Its totient is φ = 962267904.

The previous prime is 2942342041. The next prime is 2942342069. The reversal of 2942342064 is 4602432492.

2942342064 is a `hidden beast` number, since 29 + 423 + 4 + 206 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2942342069) 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, 41359 + ... + 87150.

It is an arithmetic number, because the mean of its divisors is an integer number (107562870).

Almost surely, 22942342064 is an apocalyptic number.

2942342064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2942342064 is an abundant number, since it is smaller than the sum of its proper divisors (5662687536).

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

2942342064 is a wasteful number, since it uses less digits than its factorization.

2942342064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128579 (or 128567 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2942342064 is about 54243.3596304654. The cubic root of 2942342064 is about 1432.9500551300.

The spelling of 2942342064 in words is "two billion, nine hundred forty-two million, three hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 7632 11448 22896 128509 257018 385527 514036 771054 1028072 1156581 1542108 2056144 2313162 3084216 3469743 4626324 6168432 6810977 6939486 9252648 13621954 13878972 18505296 20432931 27243908 27757944 40865862 54487816 55515888 61298793 81731724 108975632 122597586 163463448 183896379 245195172 326926896 367792758 490390344 735585516 980780688 1471171032 2942342064