Search a number
-
+
341929840 = 2457317733
BaseRepresentation
bin10100011000010…
…110111101110000
3212211101211120011
4110120112331300
51200013223330
653532424304
711321233000
oct2430267560
9784354504
10341929840
11166012a4a
1296618094
1355abbb65
14335aa000
152004282a
hex14616f70

341929840 has 160 divisors (see below), whose sum is σ = 982972800. Its totient is φ = 110186496.

The previous prime is 341929817. The next prime is 341929849. The reversal of 341929840 is 48929143.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 341929793 and 341929802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341929849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466114 + ... + 466846.

It is an arithmetic number, because the mean of its divisors is an integer number (6143580).

Almost surely, 2341929840 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 341929840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491486400).

341929840 is an abundant number, since it is smaller than the sum of its proper divisors (641042960).

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

341929840 is a wasteful number, since it uses less digits than its factorization.

341929840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 341929840 is about 18491.3450024599. The cubic root of 341929840 is about 699.2712415649.

The spelling of 341929840 in words is "three hundred forty-one million, nine hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 112 119 136 140 170 196 238 245 272 280 340 343 392 476 490 560 595 680 686 733 784 833 952 980 1190 1360 1372 1466 1666 1715 1904 1960 2380 2744 2932 3332 3430 3665 3920 4165 4760 5131 5488 5831 5864 6664 6860 7330 8330 9520 10262 11662 11728 12461 13328 13720 14660 16660 20524 23324 24922 25655 27440 29155 29320 33320 35917 41048 46648 49844 51310 58310 58640 62305 66640 71834 82096 87227 93296 99688 102620 116620 124610 143668 174454 179585 199376 205240 233240 249220 251419 287336 348908 359170 410480 436135 466480 498440 502838 574672 610589 697816 718340 872270 996880 1005676 1221178 1257095 1395632 1436680 1744540 2011352 2442356 2514190 2873360 3052945 3489080 4022704 4274123 4884712 5028380 6105890 6978160 8548246 9769424 10056760 12211780 17096492 20113520 21370615 24423560 34192984 42741230 48847120 68385968 85482460 170964920 341929840