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3930942340 = 2251336374157
BaseRepresentation
bin1110101001001101…
…0110101110000100
3101010221202120011001
43222103112232010
531022310123330
61450021423044
7166261313203
oct35223265604
911127676131
103930942340
111737a07186
1291856aa84
134a8522ab0
142940d923a
151801839ca
hexea4d6b84

3930942340 has 48 divisors (see below), whose sum is σ = 8894560752. Its totient is φ = 1450676736.

The previous prime is 3930942313. The next prime is 3930942341. The reversal of 3930942340 is 432490393.

3930942340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1250188164 + 2680754176 = 35358^2 + 51776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3930942340.

It is not an unprimeable number, because it can be changed into a prime (3930942341) 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, 943542 + ... + 947698.

It is an arithmetic number, because the mean of its divisors is an integer number (185303349).

Almost surely, 23930942340 is an apocalyptic number.

It is an amenable number.

3930942340 is an abundant number, since it is smaller than the sum of its proper divisors (4963618412).

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

3930942340 is a wasteful number, since it uses less digits than its factorization.

3930942340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816 (or 7814 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The square root of 3930942340 is about 62697.2275304100. The cubic root of 3930942340 is about 1578.2127871513.

The spelling of 3930942340 in words is "three billion, nine hundred thirty million, nine hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 3637 4157 7274 8314 14548 16628 18185 20785 36370 41570 47281 54041 72740 83140 94562 108082 189124 216164 236405 270205 472810 540410 945620 1080820 15119009 30238018 60476036 75595045 151190090 196547117 302380180 393094234 786188468 982735585 1965471170 3930942340