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349474848 = 253171971087
BaseRepresentation
bin10100110101001…
…001000000100000
3220100121011100220
4110311021000200
51203431143343
654402243040
711442326052
oct2465110040
9810534326
10349474848
1116a2a6698
1299056480
1357531168
14345b18d2
1520a33183
hex14d49020

349474848 has 96 divisors (see below), whose sum is σ = 977163264. Its totient is φ = 108982272.

The previous prime is 349474837. The next prime is 349474849. The reversal of 349474848 is 848474943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 349474848.

It is not an unprimeable number, because it can be changed into a prime (349474849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320961 + ... + 322047.

It is an arithmetic number, because the mean of its divisors is an integer number (10178784).

Almost surely, 2349474848 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 349474848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488581632).

349474848 is an abundant number, since it is smaller than the sum of its proper divisors (627688416).

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

349474848 is a wasteful number, since it uses less digits than its factorization.

349474848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1306 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The square root of 349474848 is about 18694.2463875921. The cubic root of 349474848 is about 704.3772298203.

The spelling of 349474848 in words is "three hundred forty-nine million, four hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 197 204 272 394 408 544 591 788 816 1087 1182 1576 1632 2174 2364 3152 3261 3349 4348 4728 6304 6522 6698 8696 9456 10047 13044 13396 17392 18479 18912 20094 26088 26792 34784 36958 40188 52176 53584 55437 73916 80376 104352 107168 110874 147832 160752 214139 221748 295664 321504 428278 443496 591328 642417 856556 886992 1284834 1713112 1773984 2569668 3426224 3640363 5139336 6852448 7280726 10278672 10921089 14561452 20557344 21842178 29122904 43684356 58245808 87368712 116491616 174737424 349474848