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349019712 = 2633201979
BaseRepresentation
bin10100110011011…
…001111001000000
3220022202001001000
4110303121321000
51203322112322
654344412000
711435422116
oct2463317100
9808661030
10349019712
1116a015748
1298a77000
1357401c52
14344d3ab6
15209933ac
hex14cd9e40

349019712 has 56 divisors (see below), whose sum is σ = 1026058400. Its totient is φ = 116339328.

The previous prime is 349019711. The next prime is 349019717. The reversal of 349019712 is 217910943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (349019711) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 99262 + ... + 102717.

Almost surely, 2349019712 is an apocalyptic number.

349019712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349019712 is an abundant number, since it is smaller than the sum of its proper divisors (677038688).

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

349019712 is a wasteful number, since it uses less digits than its factorization.

349019712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202000 (or 201984 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 349019712 is about 18682.0692644043. The cubic root of 349019712 is about 704.0713168110.

The spelling of 349019712 in words is "three hundred forty-nine million, nineteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 201979 403958 605937 807916 1211874 1615832 1817811 2423748 3231664 3635622 4847496 5453433 6463328 7271244 9694992 10906866 12926656 14542488 19389984 21813732 29084976 38779968 43627464 58169952 87254928 116339904 174509856 349019712