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352414413 = 321319473373
BaseRepresentation
bin10101000000010…
…110101011001101
3220120010111200200
4111000112223031
51210204230123
654545244113
711506321161
oct2500265315
9816114620
10352414413
11170a2418a
129a033639
1358020150
1434b38ca1
1520e14143
hex15016acd

352414413 has 48 divisors (see below), whose sum is σ = 589505280. Its totient is φ = 201025152.

The previous prime is 352414367. The next prime is 352414423. The reversal of 352414413 is 314414253.

It is a happy number.

352414413 is a `hidden beast` number, since 3 + 5 + 241 + 4 + 413 = 666.

It is not a de Polignac number, because 352414413 - 28 = 352414157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352414423) 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 47 ways as a sum of consecutive naturals, for example, 102795 + ... + 106167.

It is an arithmetic number, because the mean of its divisors is an integer number (12281360).

Almost surely, 2352414413 is an apocalyptic number.

It is an amenable number.

352414413 is a deficient number, since it is larger than the sum of its proper divisors (237090867).

352414413 is a wasteful number, since it uses less digits than its factorization.

352414413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3455 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 352414413 is about 18772.7039341700. The cubic root of 352414413 is about 706.3466459433.

Adding to 352414413 its reverse (314414253), we get a palindrome (666828666).

The spelling of 352414413 in words is "three hundred fifty-two million, four hundred fourteen thousand, four hundred thirteen".

Divisors: 1 3 9 13 19 39 47 57 117 141 171 247 423 611 741 893 1833 2223 2679 3373 5499 8037 10119 11609 30357 34827 43849 64087 104481 131547 158531 192261 394641 475593 576783 833131 1426779 2060903 2499393 3012089 6182709 7498179 9036267 18548127 27108801 39157157 117471471 352414413