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3960836334 = 23871331107
BaseRepresentation
bin1110110000010101…
…1001000011101110
3101020001000100000000
43230011121003232
531102433230314
61453010245130
7200103360540
oct35405310356
911201010000
103960836334
111752874a64
129265867a6
134b178b750
1429807b690
15182adb209
hexec1590ee

3960836334 has 288 divisors, whose sum is σ = 11427526656. Its totient is φ = 1001471040.

The previous prime is 3960836293. The next prime is 3960836357. The reversal of 3960836334 is 4336380693.

3960836334 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 8 + 3 + 633 + 4 = 666.

3960836334 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3960836334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37017109 + ... + 37017215.

It is an arithmetic number, because the mean of its divisors is an integer number (39678912).

Almost surely, 23960836334 is an apocalyptic number.

3960836334 is the 39804-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3960836334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713763328).

3960836334 is an abundant number, since it is smaller than the sum of its proper divisors (7466690322).

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

3960836334 is a wasteful number, since it uses less digits than its factorization.

3960836334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 3960836334 is about 62935.1756492345. The cubic root of 3960836334 is about 1582.2033477314.

The spelling of 3960836334 in words is "three billion, nine hundred sixty million, eight hundred thirty-six thousand, three hundred thirty-four".