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968351370 = 235731114827
BaseRepresentation
bin111001101101111…
…101111010001010
32111111010100100120
4321231331322022
53440344220440
6240031044110
732665564560
oct7155757212
92444110316
10968351370
11457677798
12230370636
1312580899c
149286da30
155a02ddd0
hex39b7de8a

968351370 has 64 divisors (see below), whose sum is σ = 2664769536. Its totient is φ = 220610880.

The previous prime is 968351369. The next prime is 968351381. The reversal of 968351370 is 73153869.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57897 + ... + 72723.

It is an arithmetic number, because the mean of its divisors is an integer number (41637024).

Almost surely, 2968351370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968351370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332384768).

968351370 is an abundant number, since it is smaller than the sum of its proper divisors (1696418166).

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

968351370 is a wasteful number, since it uses less digits than its factorization.

968351370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15155.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 968351370 is about 31118.3445896468. The cubic root of 968351370 is about 989.3371647179.

The spelling of 968351370 in words is "nine hundred sixty-eight million, three hundred fifty-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 311 622 933 1555 1866 2177 3110 4354 4665 6531 9330 10885 13062 14827 21770 29654 32655 44481 65310 74135 88962 103789 148270 207578 222405 311367 444810 518945 622734 1037890 1556835 3113670 4611197 9222394 13833591 23055985 27667182 32278379 46111970 64556758 69167955 96835137 138335910 161391895 193670274 322783790 484175685 968351370