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349020300 = 223527315937
BaseRepresentation
bin10100110011011…
…010000010001100
3220022202001211210
4110303122002030
51203322122200
654344414420
711435423616
oct2463320214
9808661753
10349020300
1116a016132
1298a77410
13574022b5
14344d3db6
1520993650
hex14cda08c

349020300 has 72 divisors (see below), whose sum is σ = 1023729616. Its totient is φ = 91791360.

The previous prime is 349020299. The next prime is 349020311. The reversal of 349020300 is 3020943.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13932 + ... + 29868.

Almost surely, 2349020300 is an apocalyptic number.

349020300 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 349020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511864808).

349020300 is an abundant number, since it is smaller than the sum of its proper divisors (674709316).

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

349020300 is a wasteful number, since it uses less digits than its factorization.

349020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16027 (or 16020 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 349020300 is about 18682.0850014124. The cubic root of 349020300 is about 704.0717121981.

The spelling of 349020300 in words is "three hundred forty-nine million, twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5475 7300 10950 15937 21900 31874 47811 63748 79685 95622 159370 191244 239055 318740 398425 478110 796850 956220 1163401 1195275 1593700 2326802 2390550 3490203 4653604 4781100 5817005 6980406 11634010 13960812 17451015 23268020 29085025 34902030 58170050 69804060 87255075 116340100 174510150 349020300