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966395340 = 223351789621
BaseRepresentation
bin111001100110100…
…000010111001100
32111100102222012000
4321212200113030
53434344122330
6235521112300
732643140061
oct7146402714
92440388160
10966395340
11456561139
1222b788690
131252a2581
14924c0c68
1559c94560
hex399a05cc

966395340 has 48 divisors (see below), whose sum is σ = 3006564960. Its totient is φ = 257705280.

The previous prime is 966395329. The next prime is 966395351. The reversal of 966395340 is 43593669.

It is a happy number.

966395340 is a `hidden beast` number, since 9 + 6 + 639 + 5 + 3 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (966395329) and next prime (966395351).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 894271 + ... + 895350.

It is an arithmetic number, because the mean of its divisors is an integer number (62636770).

Almost surely, 2966395340 is an apocalyptic number.

966395340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

966395340 is an abundant number, since it is smaller than the sum of its proper divisors (2040169620).

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

966395340 is a wasteful number, since it uses less digits than its factorization.

966395340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789639 (or 1789631 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 966395340 is about 31086.8998132654. The cubic root of 966395340 is about 988.6705755408.

The spelling of 966395340 in words is "nine hundred sixty-six million, three hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1789621 3579242 5368863 7158484 8948105 10737726 16106589 17896210 21475452 26844315 32213178 35792420 48319767 53688630 64426356 80532945 96639534 107377260 161065890 193279068 241598835 322131780 483197670 966395340