Search a number
-
+
345467538 = 233131959439
BaseRepresentation
bin10100100101110…
…110101010010010
3220002001120101000
4110211312222102
51201414430123
654140322430
711363265663
oct2445665222
9802046330
10345467538
11168009969
1297843416
135675a180
1433c4b36a
15204e0b43
hex14976a92

345467538 has 128 divisors (see below), whose sum is σ = 887040000. Its totient is φ = 98770752.

The previous prime is 345467533. The next prime is 345467539. The reversal of 345467538 is 835764543.

345467538 is a `hidden beast` number, since 3 + 4 + 54 + 67 + 538 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345467493 and 345467502.

It is not an unprimeable number, because it can be changed into a prime (345467533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786723 + ... + 787161.

It is an arithmetic number, because the mean of its divisors is an integer number (6930000).

Almost surely, 2345467538 is an apocalyptic number.

345467538 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345467538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520000).

345467538 is an abundant number, since it is smaller than the sum of its proper divisors (541572462).

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

345467538 is a wasteful number, since it uses less digits than its factorization.

345467538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 345467538 is about 18586.7570597993. The cubic root of 345467538 is about 701.6745880200.

The spelling of 345467538 in words is "three hundred forty-five million, four hundred sixty-seven thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 59 78 114 117 118 171 177 234 247 342 351 354 439 494 513 531 702 741 767 878 1026 1062 1121 1317 1482 1534 1593 2223 2242 2301 2634 3186 3363 3951 4446 4602 5707 6669 6726 6903 7902 8341 10089 11414 11853 13338 13806 14573 16682 17121 20178 20709 23706 25023 25901 29146 30267 34242 41418 43719 50046 51363 51802 60534 75069 77703 87438 102726 108433 131157 150138 154089 155406 216866 225207 233109 262314 308178 325299 336713 393471 450414 466218 492119 650598 673426 699327 786942 975897 984238 1010139 1398654 1476357 1951794 2020278 2927691 2952714 3030417 4429071 5855382 6060834 6397547 8858142 9091251 12795094 13287213 18182502 19192641 26574426 38385282 57577923 115155846 172733769 345467538