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352516045 = 5721738317
BaseRepresentation
bin10101000000101…
…111011111001101
3220120022200002211
4111000233133031
51210221003140
654551350421
711510223400
oct2500573715
9816280084
10352516045
11170a93582
129a082411
135805749b
1434b63d37
1520e342ea
hex1502f7cd

352516045 has 24 divisors (see below), whose sum is σ = 494987544. Its totient is φ = 240299136.

The previous prime is 352516039. The next prime is 352516049. The reversal of 352516045 is 540615253.

It can be written as a sum of positive squares in 4 ways, for example, as 212401476 + 140114569 = 14574^2 + 11837^2 .

It is not a de Polignac number, because 352516045 - 29 = 352515533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 352515998 and 352516016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352516049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38227 + ... + 46543.

It is an arithmetic number, because the mean of its divisors is an integer number (20624481).

Almost surely, 2352516045 is an apocalyptic number.

352516045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

352516045 is a deficient number, since it is larger than the sum of its proper divisors (142471499).

352516045 is a wasteful number, since it uses less digits than its factorization.

352516045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8509 (or 8502 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 352516045 is about 18775.4106479725. The cubic root of 352516045 is about 706.4145399907.

The spelling of 352516045 in words is "three hundred fifty-two million, five hundred sixteen thousand, forty-five".

Divisors: 1 5 7 35 49 173 245 865 1211 6055 8317 8477 41585 42385 58219 291095 407533 1438841 2037665 7194205 10071887 50359435 70503209 352516045