Search a number
-
+
346056240 = 24355924439
BaseRepresentation
bin10100101000000…
…110011000110000
3220010011110220210
4110220012120300
51202042244430
654201104120
711401300215
oct2450063060
9803143823
10346056240
111683811a2
1297a88040
135690510a
1433d61b0c
15205aa2b0
hex14a06630

346056240 has 80 divisors (see below), whose sum is σ = 1091001600. Its totient is φ = 90713856.

The previous prime is 346056211. The next prime is 346056241. The reversal of 346056240 is 42650643.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 346056198 and 346056207.

It is not an unprimeable number, because it can be changed into a prime (346056241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1941 + ... + 26379.

It is an arithmetic number, because the mean of its divisors is an integer number (13637520).

Almost surely, 2346056240 is an apocalyptic number.

346056240 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 346056240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545500800).

346056240 is an abundant number, since it is smaller than the sum of its proper divisors (744945360).

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

346056240 is a wasteful number, since it uses less digits than its factorization.

346056240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24514 (or 24508 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 346056240 is about 18602.5869168780. The cubic root of 346056240 is about 702.0729301428.

The spelling of 346056240 in words is "three hundred forty-six million, fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 24439 48878 73317 97756 122195 146634 195512 244390 293268 366585 391024 488780 586536 733170 977560 1173072 1441901 1466340 1955120 2883802 2932680 4325703 5767604 5865360 7209505 8651406 11535208 14419010 17302812 21628515 23070416 28838020 34605624 43257030 57676040 69211248 86514060 115352080 173028120 346056240