Search a number
-
+
346831472 = 241319231149
BaseRepresentation
bin10100101011000…
…011101001110000
3220011121212100002
4110223003221300
51202242101342
654225445132
711411006321
oct2453035160
9804555302
10346831472
11168860689
12981a07a8
1356b16c30
14340c4448
15206aed32
hex14ac3a70

346831472 has 120 divisors (see below), whose sum is σ = 793699200. Its totient is φ = 145774080.

The previous prime is 346831469. The next prime is 346831481. The reversal of 346831472 is 274138643.

346831472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 2327654 + ... + 2327802.

It is an arithmetic number, because the mean of its divisors is an integer number (6614160).

Almost surely, 2346831472 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 346831472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396849600).

346831472 is an abundant number, since it is smaller than the sum of its proper divisors (446867728).

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

346831472 is a wasteful number, since it uses less digits than its factorization.

346831472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 214 counting only the distinct ones).

The product of its digits is 96768, while the sum is 38.

The square root of 346831472 is about 18623.4119322964. The cubic root of 346831472 is about 702.5967982520.

The spelling of 346831472 in words is "three hundred forty-six million, eight hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 19 26 31 38 52 62 76 104 124 149 152 208 247 248 298 304 361 403 494 496 589 596 722 806 988 1178 1192 1444 1612 1937 1976 2356 2384 2831 2888 3224 3874 3952 4619 4693 4712 5662 5776 6448 7657 7748 9238 9386 9424 11191 11324 15314 15496 18476 18772 22382 22648 30628 30992 36803 36952 37544 44764 45296 53789 60047 61256 73606 73904 75088 87761 89528 107578 120094 122512 145483 147212 175522 179056 215156 240188 290966 294424 351044 430312 480376 581932 588848 699257 702088 860624 960752 1140893 1163864 1398514 1404176 1667459 2281786 2327728 2797028 3334918 4563572 5594056 6669836 9127144 11188112 13339672 18254288 21676967 26679344 43353934 86707868 173415736 346831472