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346885420 = 225741223271
BaseRepresentation
bin10100101011010…
…000110100101100
3220011201121100011
4110223100310230
51202300313140
654230543004
711411322520
oct2453206454
9804647304
10346885420
11168898172
1298207a64
1356b3565b
14340d9d80
15206c0cea
hex14ad0d2c

346885420 has 96 divisors (see below), whose sum is σ = 859815936. Its totient is φ = 115084800.

The previous prime is 346885417. The next prime is 346885523. The reversal of 346885420 is 24588643.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1279885 + ... + 1280155.

It is an arithmetic number, because the mean of its divisors is an integer number (8956416).

Almost surely, 2346885420 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 346885420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429907968).

346885420 is an abundant number, since it is smaller than the sum of its proper divisors (512930516).

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

346885420 is a wasteful number, since it uses less digits than its factorization.

346885420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 346885420 is about 18624.8602679322. The cubic root of 346885420 is about 702.6332249030.

It can be divided in two parts, 3468 and 85420, that added together give a palindrome (88888).

The spelling of 346885420 in words is "three hundred forty-six million, eight hundred eighty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 223 271 287 410 446 542 574 820 892 1084 1115 1148 1355 1435 1561 1897 2230 2710 2870 3122 3794 4460 5420 5740 6244 7588 7805 9143 9485 11111 15610 18286 18970 22222 31220 36572 37940 44444 45715 55555 60433 64001 77777 91430 111110 120866 128002 155554 182860 222220 241732 256004 302165 311108 320005 388885 423031 604330 640010 777770 846062 1208660 1280020 1555540 1692124 2115155 2477753 4230310 4955506 8460620 9911012 12388765 17344271 24777530 34688542 49555060 69377084 86721355 173442710 346885420