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345556101 = 311311512237
BaseRepresentation
bin10100100110001…
…100010010000101
3220002020001212010
4110212030102011
51201430243401
654142244433
711364115122
oct2446142205
9802201763
10345556101
1116806a460
1297886719
135678b587
1433c71749
152050bed6
hex1498c485

345556101 has 32 divisors (see below), whose sum is σ = 522510336. Its totient is φ = 201240000.

The previous prime is 345556031. The next prime is 345556103. The reversal of 345556101 is 101655543.

It is not a de Polignac number, because 345556101 - 214 = 345539717 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345556103) 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 31 ways as a sum of consecutive naturals, for example, 153355 + ... + 155591.

It is an arithmetic number, because the mean of its divisors is an integer number (16328448).

Almost surely, 2345556101 is an apocalyptic number.

345556101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

345556101 is a deficient number, since it is larger than the sum of its proper divisors (176954235).

345556101 is a wasteful number, since it uses less digits than its factorization.

345556101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 345556101 is about 18589.1393291890. The cubic root of 345556101 is about 701.7345426132.

The spelling of 345556101 in words is "three hundred forty-five million, five hundred fifty-six thousand, one hundred one".

Divisors: 1 3 11 31 33 93 151 341 453 1023 1661 2237 4681 4983 6711 14043 24607 51491 69347 73821 154473 208041 337787 762817 1013361 2288451 3715657 10471397 11146971 31414191 115185367 345556101