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352341416 = 23723299433
BaseRepresentation
bin10101000000000…
…100110110101000
3220112222210120002
4111000010312220
51210144411131
654543522132
711505565310
oct2500046650
9815883502
10352341416
11170984359
1299bb9348
1357cc5b5b
1434b1a440
1520dec6cb
hex15004da8

352341416 has 64 divisors (see below), whose sum is σ = 815097600. Its totient is φ = 139442688.

The previous prime is 352341401. The next prime is 352341419. The reversal of 352341416 is 614143253.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (352341419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32636 + ... + 42068.

It is an arithmetic number, because the mean of its divisors is an integer number (12735900).

Almost surely, 2352341416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352341416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407548800).

352341416 is an abundant number, since it is smaller than the sum of its proper divisors (462756184).

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

352341416 is a wasteful number, since it uses less digits than its factorization.

352341416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9498 (or 9494 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 352341416 is about 18770.7596010391. The cubic root of 352341416 is about 706.2978731117.

Adding to 352341416 its reverse (614143253), we get a palindrome (966484669).

The spelling of 352341416 in words is "three hundred fifty-two million, three hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 23 28 29 46 56 58 92 116 161 184 203 232 322 406 644 667 812 1288 1334 1624 2668 4669 5336 9338 9433 18676 18866 37352 37732 66031 75464 132062 216959 264124 273557 433918 528248 547114 867836 1094228 1518713 1735672 1914899 2188456 3037426 3829798 6074852 6291811 7659596 12149704 12583622 15319192 25167244 44042677 50334488 88085354 176170708 352341416