Search a number
-
+
346472220 = 223519313971
BaseRepresentation
bin10100101001101…
…011111100011100
3220010221121112110
4110221223330130
51202144102340
654214034020
711404652043
oct2451537434
9803847473
10346472220
11168635786
1298048910
1356a1c563
143402d55a
152063d680
hex14a6bf1c

346472220 has 96 divisors (see below), whose sum is σ = 1025498880. Its totient is φ = 87160320.

The previous prime is 346472179. The next prime is 346472227. The reversal of 346472220 is 22274643.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346472227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356335 + ... + 357305.

It is an arithmetic number, because the mean of its divisors is an integer number (10682280).

Almost surely, 2346472220 is an apocalyptic number.

346472220 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 346472220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512749440).

346472220 is an abundant number, since it is smaller than the sum of its proper divisors (679026660).

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

346472220 is a wasteful number, since it uses less digits than its factorization.

346472220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 346472220 is about 18613.7642619649. The cubic root of 346472220 is about 702.3541285166.

The spelling of 346472220 in words is "three hundred forty-six million, four hundred seventy-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 313 380 570 626 939 971 1140 1252 1565 1878 1942 2913 3130 3756 3884 4695 4855 5826 5947 6260 9390 9710 11652 11894 14565 17841 18449 18780 19420 23788 29130 29735 35682 36898 55347 58260 59470 71364 73796 89205 92245 110694 118940 178410 184490 221388 276735 303923 356820 368980 553470 607846 911769 1106940 1215692 1519615 1823538 3039230 3647076 4558845 5774537 6078460 9117690 11549074 17323611 18235380 23098148 28872685 34647222 57745370 69294444 86618055 115490740 173236110 346472220