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345240336 = 243719411319
BaseRepresentation
bin10100100100111…
…111001100010000
3220001122000201010
4110210333030100
51201340142321
654131410520
711361331410
oct2444771420
9801560633
10345240336
111679741a1
1297753a40
13566aa92c
1433bcc640
1520498676
hex1493f310

345240336 has 160 divisors (see below), whose sum is σ = 1099929600. Its totient is φ = 91100160.

The previous prime is 345240323. The next prime is 345240341. The reversal of 345240336 is 633042543.

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 31 ways as a sum of consecutive naturals, for example, 261085 + ... + 262403.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2345240336 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 345240336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549964800).

345240336 is an abundant number, since it is smaller than the sum of its proper divisors (754689264).

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

345240336 is a wasteful number, since it uses less digits than its factorization.

345240336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 345240336 is about 18580.6441223118. The cubic root of 345240336 is about 701.5207319518.

Adding to 345240336 its reverse (633042543), we get a palindrome (978282879).

The spelling of 345240336 in words is "three hundred forty-five million, two hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 41 42 48 56 57 76 82 84 112 114 123 133 152 164 168 228 246 266 287 304 328 336 399 456 492 532 574 656 779 798 861 912 984 1064 1148 1319 1558 1596 1722 1968 2128 2296 2337 2638 3116 3192 3444 3957 4592 4674 5276 5453 6232 6384 6888 7914 9233 9348 10552 10906 12464 13776 15828 16359 18466 18696 21104 21812 25061 27699 31656 32718 36932 37392 43624 50122 54079 55398 63312 65436 73864 75183 87248 100244 108158 110796 130872 147728 150366 162237 175427 200488 216316 221592 261744 300732 324474 350854 378553 400976 432632 443184 526281 601464 648948 701708 757106 865264 1027501 1052562 1135659 1202928 1297896 1403416 1514212 2055002 2105124 2271318 2595792 2806832 3028424 3082503 4110004 4210248 4542636 6056848 6165006 7192507 8220008 8420496 9085272 12330012 14385014 16440016 18170544 21577521 24660024 28770028 43155042 49320048 57540056 86310084 115080112 172620168 345240336