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3645913840 = 245172680819
BaseRepresentation
bin1101100101010000…
…0011101011110000
3100102002102121112221
43121110003223300
524431323220330
61401440330424
7156230520262
oct33124035360
910362377487
103645913840
111601029038
12859013a14
1346146768a
14268301b32
15165130b7a
hexd9503af0

3645913840 has 40 divisors (see below), whose sum is σ = 8975385360. Its totient is φ = 1372578816.

The previous prime is 3645913811. The next prime is 3645913847. The reversal of 3645913840 is 483195463.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×36459138403 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645913847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1339050 + ... + 1341769.

It is an arithmetic number, because the mean of its divisors is an integer number (224384634).

Almost surely, 23645913840 is an apocalyptic number.

It is an amenable number.

3645913840 is an abundant number, since it is smaller than the sum of its proper divisors (5329471520).

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

3645913840 is a wasteful number, since it uses less digits than its factorization.

3645913840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2680849 (or 2680843 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 3645913840 is about 60381.4030973113. The cubic root of 3645913840 is about 1539.1069539717.

The spelling of 3645913840 in words is "three billion, six hundred forty-five million, nine hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2680819 5361638 10723276 13404095 21446552 26808190 42893104 45573923 53616380 91147846 107232760 182295692 214465520 227869615 364591384 455739230 729182768 911478460 1822956920 3645913840