Search a number
-
+
345531000 = 23353149773
BaseRepresentation
bin10100100110000…
…110001001111000
3220002011210102110
4110212012021320
51201423443000
654141532320
711363652003
oct2446061170
9802153373
10345531000
11168052611
12978740a0
1356780019
1433c6653a
1520504850
hex14986278

345531000 has 128 divisors (see below), whose sum is σ = 1086696000. Its totient is φ = 91404800.

The previous prime is 345530959. The next prime is 345531007. The reversal of 345531000 is 135543.

It is a super-2 number, since 2×3455310002 = 238783343922000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345531007) 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, 446614 + ... + 447386.

Almost surely, 2345531000 is an apocalyptic number.

345531000 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 345531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543348000).

345531000 is an abundant number, since it is smaller than the sum of its proper divisors (741165000).

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

345531000 is a wasteful number, since it uses less digits than its factorization.

345531000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 345531000 is about 18588.4641646372. The cubic root of 345531000 is about 701.7175510015.

Adding to 345531000 its reverse (135543), we get a palindrome (345666543).

It can be divided in two parts, 34553 and 1000, that added together give a palindrome (35553).

The spelling of 345531000 in words is "three hundred forty-five million, five hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 149 150 200 250 298 300 375 447 500 596 600 745 750 773 894 1000 1192 1490 1500 1546 1788 2235 2319 2980 3000 3092 3576 3725 3865 4470 4638 5960 6184 7450 7730 8940 9276 11175 11595 14900 15460 17880 18552 18625 19325 22350 23190 29800 30920 37250 38650 44700 46380 55875 57975 74500 77300 89400 92760 96625 111750 115177 115950 149000 154600 193250 223500 230354 231900 289875 345531 386500 447000 460708 463800 575885 579750 691062 773000 921416 1151770 1159500 1382124 1727655 2303540 2319000 2764248 2879425 3455310 4607080 5758850 6910620 8638275 11517700 13821240 14397125 17276550 23035400 28794250 34553100 43191375 57588500 69106200 86382750 115177000 172765500 345531000