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349190730 = 23357473931
BaseRepresentation
bin10100110100000…
…011101001001010
3220100001201122000
4110310003221022
51203343100410
654352211430
711440033530
oct2464035112
9810051560
10349190730
1116a122189
1298b39b76
1357461a45
143453a150
15209c8dc0
hex14d03a4a

349190730 has 128 divisors (see below), whose sum is σ = 1087119360. Its totient is φ = 78096960.

The previous prime is 349190717. The next prime is 349190731. The reversal of 349190730 is 37091943.

It is not an unprimeable number, because it can be changed into a prime (349190731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86865 + ... + 90795.

It is an arithmetic number, because the mean of its divisors is an integer number (8493120).

Almost surely, 2349190730 is an apocalyptic number.

349190730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 349190730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543559680).

349190730 is an abundant number, since it is smaller than the sum of its proper divisors (737928630).

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

349190730 is a wasteful number, since it uses less digits than its factorization.

349190730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 349190730 is about 18686.6457664290. The cubic root of 349190730 is about 704.1862952330.

The spelling of 349190730 in words is "three hundred forty-nine million, one hundred ninety thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 47 54 63 70 90 94 105 126 135 141 189 210 235 270 282 315 329 378 423 470 630 658 705 846 945 987 1269 1410 1645 1890 1974 2115 2538 2961 3290 3931 4230 4935 5922 6345 7862 8883 9870 11793 12690 14805 17766 19655 23586 27517 29610 35379 39310 44415 55034 58965 70758 82551 88830 106137 117930 137585 165102 176895 184757 212274 247653 275170 353790 369514 412755 495306 530685 554271 742959 825510 923785 1061370 1108542 1238265 1293299 1485918 1662813 1847570 2476530 2586598 2771355 3325626 3714795 3879897 4988439 5542710 6466495 7429590 7759794 8314065 9976878 11639691 12932990 16628130 19399485 23279382 24942195 34919073 38798970 49884390 58198455 69838146 116396910 174595365 349190730