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4404641340 = 2235116673699
BaseRepresentation
bin1000001101000100…
…10111111000111100
3102100222002222000110
410012202113320330
533010042010330
62005022430020
7214102555641
oct40642277074
912328088013
104404641340
11196033a260
12a2b132310
135526c9768
142dada5dc8
151aba53db0
hex106897e3c

4404641340 has 48 divisors (see below), whose sum is σ = 13454179200. Its totient is φ = 1067791680.

The previous prime is 4404641321. The next prime is 4404641347. The reversal of 4404641340 is 431464044.

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 = 4404641298 and 4404641307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404641347) 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, 3336190 + ... + 3337509.

It is an arithmetic number, because the mean of its divisors is an integer number (280295400).

Almost surely, 24404641340 is an apocalyptic number.

It is an amenable number.

4404641340 is an abundant number, since it is smaller than the sum of its proper divisors (9049537860).

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

4404641340 is a wasteful number, since it uses less digits than its factorization.

4404641340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6673722 (or 6673720 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4404641340 is about 66367.4720024803. The cubic root of 4404641340 is about 1639.2185127557.

The spelling of 4404641340 in words is "four billion, four hundred four million, six hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 6673699 13347398 20021097 26694796 33368495 40042194 66736990 73410689 80084388 100105485 133473980 146821378 200210970 220232067 293642756 367053445 400421940 440464134 734106890 880928268 1101160335 1468213780 2202320670 4404641340