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3968341488 = 243238970843
BaseRepresentation
bin1110110010001000…
…0001010111110000
3101020120010122010200
43230202001113300
531111343411423
61453435155200
7200224226466
oct35442012760
911216118120
103968341488
111757030771
12928ba5b00
134b31b8877
14299072836
151835bed43
hexec8815f0

3968341488 has 60 divisors (see below), whose sum is σ = 11134551480. Its totient is φ = 1319361408.

The previous prime is 3968341477. The next prime is 3968341511. The reversal of 3968341488 is 8841438693.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20595 + ... + 91437.

It is an arithmetic number, because the mean of its divisors is an integer number (185575858).

Almost surely, 23968341488 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 3968341488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567275740).

3968341488 is an abundant number, since it is smaller than the sum of its proper divisors (7166209992).

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

3968341488 is a wasteful number, since it uses less digits than its factorization.

3968341488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71246 (or 71237 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 3968341488 is about 62994.7734974895. The cubic root of 3968341488 is about 1583.2020583117.

The spelling of 3968341488 in words is "three billion, nine hundred sixty-eight million, three hundred forty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 389 778 1167 1556 2334 3112 3501 4668 6224 7002 9336 14004 18672 28008 56016 70843 141686 212529 283372 425058 566744 637587 850116 1133488 1275174 1700232 2550348 3400464 5100696 10201392 27557927 55115854 82673781 110231708 165347562 220463416 248021343 330695124 440926832 496042686 661390248 992085372 1322780496 1984170744 3968341488