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352666980 = 223351937929
BaseRepresentation
bin10101000001010…
…100010101100100
3220120121100011000
4111001110111210
51210240320410
654554513300
711511422421
oct2501242544
9816540130
10352666980
11171086a16
129a135830
13580ab0b3
1434ba2d48
1520e63dc0
hex15054564

352666980 has 192 divisors, whose sum is σ = 1187424000. Its totient is φ = 86593536.

The previous prime is 352666969. The next prime is 352666987. The reversal of 352666980 is 89666253.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (352666987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379156 + ... + 380084.

It is an arithmetic number, because the mean of its divisors is an integer number (6184500).

Almost surely, 2352666980 is an apocalyptic number.

352666980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352666980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712000).

352666980 is an abundant number, since it is smaller than the sum of its proper divisors (834757020).

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

352666980 is a wasteful number, since it uses less digits than its factorization.

352666980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 352666980 is about 18779.4297038009. The cubic root of 352666980 is about 706.5153462437.

The spelling of 352666980 in words is "three hundred fifty-two million, six hundred sixty-six thousand, nine hundred eighty".