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346254066 = 23231237541
BaseRepresentation
bin10100101000110…
…110101011110010
3220010112112021200
4110220312223302
51202120112231
654205232030
711403053034
oct2450665362
9803475250
10346254066
111684a6894
1297b62616
1356974182
1433db3c54
15205e8be6
hex14a36af2

346254066 has 72 divisors (see below), whose sum is σ = 797621292. Its totient is φ = 108475200.

The previous prime is 346254049. The next prime is 346254089. The reversal of 346254066 is 660452643.

346254066 is a `hidden beast` number, since 346 + 254 + 0 + 66 = 666.

346254066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 335659041 + 10595025 = 18321^2 + 3255^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 346254066.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 639756 + ... + 640296.

Almost surely, 2346254066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346254066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398810646).

346254066 is an abundant number, since it is smaller than the sum of its proper divisors (451367226).

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

346254066 is a wasteful number, since it uses less digits than its factorization.

346254066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 346254066 is about 18607.9033209010. The cubic root of 346254066 is about 702.2066866504.

The spelling of 346254066 in words is "three hundred forty-six million, two hundred fifty-four thousand, sixty-six".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 222 279 333 541 558 666 961 1082 1147 1623 1922 2294 2883 3246 3441 4869 5766 6882 8649 9738 10323 16771 17298 20017 20646 33542 35557 40034 50313 60051 71114 100626 106671 120102 150939 180153 213342 301878 320013 360306 519901 620527 640026 1039802 1241054 1559703 1861581 3119406 3723162 4679109 5584743 9358218 11169486 19236337 38472674 57709011 115418022 173127033 346254066