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345434355 = 3357232691
BaseRepresentation
bin10100100101101…
…110100011110011
3220001222212212000
4110211232203303
51201412344410
654135505043
711363100150
oct2445564363
9801885760
10345434355
11167a96a42
1297828183
1356748036
1433c3d227
15204d5dc0
hex1496e8f3

345434355 has 96 divisors (see below), whose sum is σ = 734737920. Its totient is φ = 150828480.

The previous prime is 345434347. The next prime is 345434357. The reversal of 345434355 is 553434543.

It is not a de Polignac number, because 345434355 - 23 = 345434347 is a prime.

It is a super-2 number, since 2×3454343552 = 238649787228532050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (345434357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 499560 + ... + 500250.

It is an arithmetic number, because the mean of its divisors is an integer number (7653520).

Almost surely, 2345434355 is an apocalyptic number.

345434355 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

345434355 is an abundant number, since it is smaller than the sum of its proper divisors (389303565).

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

345434355 is a wasteful number, since it uses less digits than its factorization.

345434355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 729 counting only the distinct ones).

The product of its digits is 216000, while the sum is 36.

The square root of 345434355 is about 18585.8643866784. The cubic root of 345434355 is about 701.6521214486.

Adding to 345434355 its reverse (553434543), we get a palindrome (898868898).

The spelling of 345434355 in words is "three hundred forty-five million, four hundred thirty-four thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 105 115 135 161 189 207 315 345 483 529 621 691 805 945 1035 1449 1587 2073 2415 2645 3105 3455 3703 4347 4761 4837 6219 7245 7935 10365 11109 14283 14511 15893 18515 18657 21735 23805 24185 31095 33327 43533 47679 55545 71415 72555 79465 93285 99981 111251 130599 143037 166635 217665 238395 333753 365539 429111 499905 556255 652995 715185 1001259 1096617 1668765 1827695 2145555 2558773 3003777 3289851 5006295 5483085 7676319 9869553 12793865 15018885 16449255 23028957 38381595 49347765 69086871 115144785 345434355