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2938000945 = 511177144257
BaseRepresentation
bin1010111100011110…
…0101011000110001
321120202100220121211
42233013211120301
522004112012240
61203311320121
7132543411265
oct25707453061
97522326554
102938000945
111278474660
1269bb20041
1337a8b76c9
141dc2a80a5
15122de8bea
hexaf1e5631

2938000945 has 32 divisors (see below), whose sum is σ = 4129802496. Its totient is φ = 1982668800.

The previous prime is 2938000939. The next prime is 2938000963. The reversal of 2938000945 is 5490008392.

It is a happy number.

It is not a de Polignac number, because 2938000945 - 227 = 2803783217 is a prime.

It is a super-3 number, since 3×29380009453 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2938000898 and 2938000907.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 44257 + ... + 88513.

It is an arithmetic number, because the mean of its divisors is an integer number (129056328).

Almost surely, 22938000945 is an apocalyptic number.

2938000945 is the 44257-th pentagonal number.

It is an amenable number.

2938000945 is a deficient number, since it is larger than the sum of its proper divisors (1191801551).

2938000945 is a wasteful number, since it uses less digits than its factorization.

2938000945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44361.

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 2938000945 is about 54203.3296486480. The cubic root of 2938000945 is about 1432.2449854530.

The spelling of 2938000945 in words is "two billion, nine hundred thirty-eight million, nine hundred forty-five", and thus it is an aban number.

Divisors: 1 5 11 17 55 71 85 187 355 781 935 1207 3905 6035 13277 44257 66385 221285 486827 752369 2434135 3142247 3761845 8276059 15711235 34564717 41380295 53418199 172823585 267090995 587600189 2938000945