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345011100 = 223527164291
BaseRepresentation
bin10100100100000…
…111001110011100
3220001012101020220
4110210013032130
51201310323400
654122441340
711356355160
oct2444071634
9801171226
10345011100
11167827a45
1297663250
135662a4a5
1433b6cca0
15204507a0
hex1490739c

345011100 has 72 divisors (see below), whose sum is σ = 1140843648. Its totient is φ = 78859200.

The previous prime is 345011083. The next prime is 345011113. The reversal of 345011100 is 1110543.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 345011100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80046 + ... + 84245.

Almost surely, 2345011100 is an apocalyptic number.

345011100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345011100 is an abundant number, since it is smaller than the sum of its proper divisors (795832548).

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

345011100 is a wasteful number, since it uses less digits than its factorization.

345011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164315 (or 164308 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 345011100 is about 18574.4744205590. The cubic root of 345011100 is about 701.3654300788.

Adding to 345011100 its reverse (1110543), we get a palindrome (346121643).

The spelling of 345011100 in words is "three hundred forty-five million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 164291 328582 492873 657164 821455 985746 1150037 1642910 1971492 2300074 2464365 3285820 3450111 4107275 4600148 4928730 5750185 6900222 8214550 9857460 11500370 12321825 13800444 16429100 17250555 23000740 24643650 28750925 34501110 49287300 57501850 69002220 86252775 115003700 172505550 345011100