[go: up one dir, main page]

Search a number
-
+
348945420 = 223523293863
BaseRepresentation
bin10100110011000…
…111110000001100
3220022121021010110
4110303013300030
51203312223140
654343040020
711434662405
oct2463076014
9808537113
10348945420
11169a7494a
1298a40010
13573a71a5
14344b49ac
152097b380
hex14cc7c0c

348945420 has 96 divisors (see below), whose sum is σ = 1024192512. Its totient is φ = 88599808.

The previous prime is 348945419. The next prime is 348945427. The reversal of 348945420 is 24549843.

348945420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3489454202 = 243525812277952800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348945427) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 403909 + ... + 404771.

It is an arithmetic number, because the mean of its divisors is an integer number (10668672).

Almost surely, 2348945420 is an apocalyptic number.

348945420 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 348945420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512096256).

348945420 is an abundant number, since it is smaller than the sum of its proper divisors (675247092).

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

348945420 is a wasteful number, since it uses less digits than its factorization.

348945420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 348945420 is about 18680.0808349429. The cubic root of 348945420 is about 704.0213572851.

The spelling of 348945420 in words is "three hundred forty-eight million, nine hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 293 345 460 586 690 863 879 1172 1380 1465 1726 1758 2589 2930 3452 3516 4315 4395 5178 5860 6739 8630 8790 10356 12945 13478 17260 17580 19849 20217 25890 26956 33695 39698 40434 51780 59547 67390 79396 80868 99245 101085 119094 134780 198490 202170 238188 252859 297735 396980 404340 505718 595470 758577 1011436 1190940 1264295 1517154 2528590 3034308 3792885 5057180 5815757 7585770 11631514 15171540 17447271 23263028 29078785 34894542 58157570 69789084 87236355 116315140 174472710 348945420