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343090144 = 251931109167
BaseRepresentation
bin10100011100110…
…010001111100000
3212220120210012101
4110130302033200
51200312341034
654013340144
711334134545
oct2434621740
9786523171
10343090144
11166735781
1296a97654
1356107027
14337ccbcc
15201c1514
hex147323e0

343090144 has 96 divisors (see below), whose sum is σ = 745113600. Its totient is φ = 154897920.

The previous prime is 343090123. The next prime is 343090157. The reversal of 343090144 is 441090343.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2054349 + ... + 2054515.

It is an arithmetic number, because the mean of its divisors is an integer number (7761600).

Almost surely, 2343090144 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 343090144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372556800).

343090144 is an abundant number, since it is smaller than the sum of its proper divisors (402023456).

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

343090144 is a wasteful number, since it uses less digits than its factorization.

343090144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 343090144 is about 18522.6926768221. The cubic root of 343090144 is about 700.0613170777.

The spelling of 343090144 in words is "three hundred forty-three million, ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 109 124 152 167 218 248 304 334 436 496 589 608 668 872 992 1178 1336 1744 2071 2356 2672 3173 3379 3488 4142 4712 5177 5344 6346 6758 8284 9424 10354 12692 13516 16568 18203 18848 20708 25384 27032 33136 36406 41416 50768 54064 64201 66272 72812 82832 98363 101536 108128 128402 145624 165664 196726 256804 291248 345857 393452 513608 564293 582496 691714 786904 1027216 1128586 1383428 1573808 2054432 2257172 2766856 3147616 4514344 5533712 9028688 10721567 11067424 18057376 21443134 42886268 85772536 171545072 343090144