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345363534 = 233172111783
BaseRepresentation
bin10100100101011…
…101010001001110
3220001212021201000
4110211131101032
51201403113114
654134201130
711362353525
oct2445352116
9801767630
10345363534
11167a4880a
12977b31a6
1356721a29
1433c214bc
15204bee09
hex1495d44e

345363534 has 64 divisors (see below), whose sum is σ = 816929280. Its totient is φ = 107775360.

The previous prime is 345363509. The next prime is 345363559. The reversal of 345363534 is 435363543.

It is an interprime number because it is at equal distance from previous prime (345363509) and next prime (345363559).

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 a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192807 + ... + 194589.

It is an arithmetic number, because the mean of its divisors is an integer number (12764520).

Almost surely, 2345363534 is an apocalyptic number.

345363534 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345363534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408464640).

345363534 is an abundant number, since it is smaller than the sum of its proper divisors (471565746).

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

345363534 is a wasteful number, since it uses less digits than its factorization.

345363534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2016 counting only the distinct ones).

The product of its digits is 194400, while the sum is 36.

The square root of 345363534 is about 18583.9590507513. The cubic root of 345363534 is about 701.6041672324.

Subtracting 345363534 from its reverse (435363543), we obtain a palindrome (90000009).

The spelling of 345363534 in words is "three hundred forty-five million, three hundred sixty-three thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 211 306 422 459 633 918 1266 1783 1899 3566 3587 3798 5349 5697 7174 10698 10761 11394 16047 21522 30311 32094 32283 48141 60622 64566 90933 96282 96849 181866 193698 272799 376213 545598 752426 818397 1128639 1636794 2257278 3385917 6395621 6771834 10157751 12791242 19186863 20315502 38373726 57560589 115121178 172681767 345363534