Search a number
-
+
346213420 = 225721492371
BaseRepresentation
bin10100101000101…
…100110000101100
3220010110110112021
4110220230300230
51202112312140
654204315524
711402523400
oct2450546054
9803413467
10346213420
111684792a3
1297b42ba4
135695b817
1433da3100
15205dbb4a
hex14a2cc2c

346213420 has 72 divisors (see below), whose sum is σ = 851785200. Its totient is φ = 117855360.

The previous prime is 346213379. The next prime is 346213423. The reversal of 346213420 is 24312643.

It is not an unprimeable number, because it can be changed into a prime (346213423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144835 + ... + 147205.

It is an arithmetic number, because the mean of its divisors is an integer number (11830350).

Almost surely, 2346213420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425892600).

346213420 is an abundant number, since it is smaller than the sum of its proper divisors (505571780).

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

346213420 is a wasteful number, since it uses less digits than its factorization.

346213420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 346213420 is about 18606.8111185125. The cubic root of 346213420 is about 702.1792087445.

The spelling of 346213420 in words is "three hundred forty-six million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 196 245 298 490 596 745 980 1043 1490 2086 2371 2980 4172 4742 5215 7301 9484 10430 11855 14602 16597 20860 23710 29204 33194 36505 47420 66388 73010 82985 116179 146020 165970 232358 331940 353279 464716 580895 706558 1161790 1413116 1766395 2323580 2472953 3532790 4945906 7065580 9891812 12364765 17310671 24729530 34621342 49459060 69242684 86553355 173106710 346213420