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342221312 = 2919127277
BaseRepresentation
bin10100011001011…
…110001000000000
3212211221122101102
4110121132020000
51200102040222
653542553532
711323555526
oct2431361000
9784848342
10342221312
111661a1a34
12967388a8
1355b91724
1433644316
152009dd92
hex1465e200

342221312 has 80 divisors (see below), whose sum is σ = 728048640. Its totient is φ = 160247808.

The previous prime is 342221309. The next prime is 342221353. The reversal of 342221312 is 213122243.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1235318 + ... + 1235594.

It is an arithmetic number, because the mean of its divisors is an integer number (9100608).

Almost surely, 2342221312 is an apocalyptic number.

342221312 is a gapful number since it is divisible by the number (32) 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 342221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364024320).

342221312 is an abundant number, since it is smaller than the sum of its proper divisors (385827328).

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

342221312 is a wasteful number, since it uses less digits than its factorization.

342221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 342221312 is about 18499.2246324001. The cubic root of 342221312 is about 699.4698789043.

Adding to 342221312 its reverse (213122243), we get a palindrome (555343555).

The spelling of 342221312 in words is "three hundred forty-two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 127 128 152 254 256 277 304 508 512 554 608 1016 1108 1216 2032 2216 2413 2432 4064 4432 4826 4864 5263 8128 8864 9652 9728 10526 16256 17728 19304 21052 32512 35179 35456 38608 42104 65024 70358 70912 77216 84208 140716 141824 154432 168416 281432 308864 336832 562864 617728 668401 673664 1125728 1235456 1336802 1347328 2251456 2673604 2694656 4502912 5347208 9005824 10694416 18011648 21388832 42777664 85555328 171110656 342221312