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345211240 = 235114716693
BaseRepresentation
bin10100100100111…
…000000101101000
3220001120112210111
4110210320011220
51201333224430
654131024104
711361150523
oct2444700550
9801515714
10345211240
11167954350
129773b034
135669a60a
1433bc1bba
152048ec2a
hex14938168

345211240 has 64 divisors (see below), whose sum is σ = 865416960. Its totient is φ = 122853120.

The previous prime is 345211213. The next prime is 345211241. The reversal of 345211240 is 42112543.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (345211241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12334 + ... + 29026.

It is an arithmetic number, because the mean of its divisors is an integer number (13522140).

Almost surely, 2345211240 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 345211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432708480).

345211240 is an abundant number, since it is smaller than the sum of its proper divisors (520205720).

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

345211240 is a wasteful number, since it uses less digits than its factorization.

345211240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16762 (or 16758 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 345211240 is about 18579.8611404930. The cubic root of 345211240 is about 701.5010239219.

Adding to 345211240 its reverse (42112543), we get a palindrome (387323783).

The spelling of 345211240 in words is "three hundred forty-five million, two hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 5170 10340 16693 20680 33386 66772 83465 133544 166930 183623 333860 367246 667720 734492 784571 918115 1468984 1569142 1836230 3138284 3672460 3922855 6276568 7344920 7845710 8630281 15691420 17260562 31382840 34521124 43151405 69042248 86302810 172605620 345211240