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345521430 = 23351775277
BaseRepresentation
bin10100100110000…
…011110100010110
3220002011022022000
4110212003310112
51201423141210
654141420130
711363612052
oct2446036426
9802138260
10345521430
11168046401
129786a646
1356778867
1433c62c62
1520501ac0
hex14983d16

345521430 has 64 divisors (see below), whose sum is σ = 975602880. Its totient is φ = 86717952.

The previous prime is 345521411. The next prime is 345521437. The reversal of 345521430 is 34125543.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 345521394 and 345521403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345521437) by changing a digit.

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, 33049 + ... + 42228.

It is an arithmetic number, because the mean of its divisors is an integer number (15243795).

Almost surely, 2345521430 is an apocalyptic number.

345521430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345521430 is an abundant number, since it is smaller than the sum of its proper divisors (630081450).

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

345521430 is a wasteful number, since it uses less digits than its factorization.

345521430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75310 (or 75304 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 345521430 is about 18588.2067451382. The cubic root of 345521430 is about 701.7110725679.

Adding to 345521430 its reverse (34125543), we get a palindrome (379646973).

The spelling of 345521430 in words is "three hundred forty-five million, five hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 75277 150554 225831 376385 451662 677493 752770 1129155 1279709 1354986 2032479 2258310 2559418 3387465 3839127 4064958 6398545 6774930 7678254 10162395 11517381 12797090 19195635 20324790 23034762 34552143 38391270 57586905 69104286 115173810 172760715 345521430