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3437594144 = 25107424817
BaseRepresentation
bin1100110011100101…
…1000011000100000
322212120102212122122
43030321120120200
524020011003034
61325035323412
7151121032235
oct31471303040
98776385578
103437594144
1115044833a6
127bb2b0568
1342a25959a
1424879578c
15151bd162e
hexcce58620

3437594144 has 12 divisors (see below), whose sum is σ = 6767763534. Its totient is φ = 1718797056.

The previous prime is 3437594143. The next prime is 3437594179. The reversal of 3437594144 is 4414957343.

It can be written as a sum of positive squares in only one way, i.e., 1755610000 + 1681984144 = 41900^2 + 41012^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3437594095 and 3437594104.

It is not an unprimeable number, because it can be changed into a prime (3437594143) by changing a digit.

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 as a sum of consecutive naturals, namely, 53712377 + ... + 53712440.

Almost surely, 23437594144 is an apocalyptic number.

It is an amenable number.

3437594144 is a deficient number, since it is larger than the sum of its proper divisors (3330169390).

3437594144 is a wasteful number, since it uses less digits than its factorization.

3437594144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107424827 (or 107424819 counting only the distinct ones).

The product of its digits is 725760, while the sum is 44.

The square root of 3437594144 is about 58630.9998550255. Note that the first 3 decimals coincide. The cubic root of 3437594144 is about 1509.2164617587.

The spelling of 3437594144 in words is "three billion, four hundred thirty-seven million, five hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 107424817 214849634 429699268 859398536 1718797072 3437594144