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349713990 = 23359911307
BaseRepresentation
bin10100110110000…
…011011001000110
3220101001022102000
4110312003121012
51204011321430
654411330130
711444343213
oct2466033106
9811038360
10349713990
1116a44a32a
1299150946
13575b5c72
1434634b0a
1520a7de60
hex14d83646

349713990 has 64 divisors (see below), whose sum is σ = 934225920. Its totient is φ = 93091680.

The previous prime is 349713989. The next prime is 349713997. The reversal of 349713990 is 99317943.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349713997) 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 31 ways as a sum of consecutive naturals, for example, 266917 + ... + 268223.

It is an arithmetic number, because the mean of its divisors is an integer number (14597280).

Almost surely, 2349713990 is an apocalyptic number.

349713990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

349713990 is an abundant number, since it is smaller than the sum of its proper divisors (584511930).

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

349713990 is a wasteful number, since it uses less digits than its factorization.

349713990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 349713990 is about 18700.6414328493. The cubic root of 349713990 is about 704.5378591884.

It can be divided in two parts, 349713 and 990, that added together give a triangular number (350703 = T837).

The spelling of 349713990 in words is "three hundred forty-nine million, seven hundred thirteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 991 1307 1982 2614 2973 3921 4955 5946 6535 7842 8919 9910 11763 13070 14865 17838 19605 23526 26757 29730 35289 39210 44595 53514 58815 70578 89190 117630 133785 176445 267570 352890 1295237 2590474 3885711 6476185 7771422 11657133 12952370 19428555 23314266 34971399 38857110 58285665 69942798 116571330 174856995 349713990