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3713483440 = 245434392459
BaseRepresentation
bin1101110101010111…
…0100001010110000
3100120210120111121201
43131111310022300
530101122432230
61412252500544
7161011042222
oct33525641260
910523514551
103713483440
11163618a087
1287777a754
13472464ba4
14273290412
1516b02b5ca
hexdd5742b0

3713483440 has 80 divisors (see below), whose sum is σ = 8858361600. Its totient is φ = 1446955776.

The previous prime is 3713483419. The next prime is 3713483491. The reversal of 3713483440 is 443843173.

3713483440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3713483440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1508931 + ... + 1511389.

It is an arithmetic number, because the mean of its divisors is an integer number (110729520).

Almost surely, 23713483440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3713483440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4429180800).

3713483440 is an abundant number, since it is smaller than the sum of its proper divisors (5144878160).

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

3713483440 is a wasteful number, since it uses less digits than its factorization.

3713483440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 3713483440 is about 60938.3577067843. The cubic root of 3713483440 is about 1548.5568864410.

The spelling of 3713483440 in words is "three billion, seven hundred thirteen million, four hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 439 688 860 878 1720 1756 2195 2459 3440 3512 4390 4918 7024 8780 9836 12295 17560 18877 19672 24590 35120 37754 39344 49180 75508 94385 98360 105737 151016 188770 196720 211474 302032 377540 422948 528685 755080 845896 1057370 1079501 1510160 1691792 2114740 2159002 4229480 4318004 5397505 8458960 8636008 10795010 17272016 21590020 43180040 46418543 86360080 92837086 185674172 232092715 371348344 464185430 742696688 928370860 1856741720 3713483440