Search a number
-
+
2901443340 = 2235306715767
BaseRepresentation
bin1010110011110000…
…1000001100001100
321111012120121000110
42230330020030030
521420232141330
61155524000020
7131620601325
oct25474101414
97435517013
102901443340
111259875364
1268b830010
133731579a3
141d74ad44c
1511eac6db0
hexacf0830c

2901443340 has 48 divisors (see below), whose sum is σ = 8127205632. Its totient is φ = 773416896.

The previous prime is 2901443333. The next prime is 2901443371. The reversal of 2901443340 is 433441092.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2901443298 and 2901443307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176137 + ... + 191903.

It is an arithmetic number, because the mean of its divisors is an integer number (169316784).

Almost surely, 22901443340 is an apocalyptic number.

2901443340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2901443340 is an abundant number, since it is smaller than the sum of its proper divisors (5225762292).

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

2901443340 is a wasteful number, since it uses less digits than its factorization.

2901443340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18846 (or 18844 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2901443340 is about 53865.0474797897. The cubic root of 2901443340 is about 1426.2796901012.

The spelling of 2901443340 in words is "two billion, nine hundred one million, four hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3067 6134 9201 12268 15335 15767 18402 30670 31534 36804 46005 47301 61340 63068 78835 92010 94602 157670 184020 189204 236505 315340 473010 946020 48357389 96714778 145072167 193429556 241786945 290144334 483573890 580288668 725360835 967147780 1450721670 2901443340