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346625316 = 223241733217
BaseRepresentation
bin10100101010010…
…001010100100100
3220011020101112200
4110222101110210
51202214002231
654221214500
711406160302
oct2452212444
9804211480
10346625316
1116872a804
1298101430
1356a7414b
143406d272
152066dbe6
hex14a91524

346625316 has 72 divisors (see below), whose sum is σ = 910140504. Its totient is φ = 111144960.

The previous prime is 346625311. The next prime is 346625327. The reversal of 346625316 is 613526643.

It can be written as a sum of positive squares in 4 ways, for example, as 47196900 + 299428416 = 6870^2 + 17304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (346625311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106140 + ... + 109356.

Almost surely, 2346625316 is an apocalyptic number.

346625316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346625316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455070252).

346625316 is an abundant number, since it is smaller than the sum of its proper divisors (563515188).

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

346625316 is a wasteful number, since it uses less digits than its factorization.

346625316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3336 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 346625316 is about 18617.8762483802. The cubic root of 346625316 is about 702.4575632391.

It can be divided in two parts, 3466 and 25316, that added together give a palindrome (28782).

The spelling of 346625316 in words is "three hundred forty-six million, six hundred twenty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 73 82 123 146 164 219 246 292 369 438 492 657 738 876 1314 1476 2628 2993 3217 5986 6434 8979 9651 11972 12868 17958 19302 26937 28953 35916 38604 53874 57906 107748 115812 131897 234841 263794 395691 469682 527588 704523 791382 939364 1187073 1409046 1582764 2113569 2374146 2818092 4227138 4748292 8454276 9628481 19256962 28885443 38513924 57770886 86656329 115541772 173312658 346625316