Search a number
-
+
340150720 = 26571311681
BaseRepresentation
bin10100010001100…
…100100111000000
3212201001110001211
4110101210213000
51144034310340
653430335504
711300143030
oct2421444700
9781043054
10340150720
111650082a8
1295aba594
1355618120
14332658c0
151ece05ea
hex144649c0

340150720 has 112 divisors (see below), whose sum is σ = 996988608. Its totient is φ = 107642880.

The previous prime is 340150717. The next prime is 340150763. The reversal of 340150720 is 27051043.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 340150691 and 340150700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23280 + ... + 34960.

It is an arithmetic number, because the mean of its divisors is an integer number (8901684).

Almost surely, 2340150720 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 340150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498494304).

340150720 is an abundant number, since it is smaller than the sum of its proper divisors (656837888).

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

340150720 is a wasteful number, since it uses less digits than its factorization.

340150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11718 (or 11708 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 340150720 is about 18443.1754315790. The cubic root of 340150720 is about 698.0563223053.

The spelling of 340150720 in words is "three hundred forty million, one hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 5824 7280 11681 14560 23362 29120 46724 58405 81767 93448 116810 151853 163534 186896 233620 303706 327068 373792 408835 467240 607412 654136 747584 759265 817670 934480 1062971 1214824 1308272 1518530 1635340 1868960 2125942 2429648 2616544 3037060 3270680 3737920 4251884 4859296 5233088 5314855 6074120 6541360 8503768 9718592 10629710 12148240 13082720 17007536 21259420 24296480 26165440 34015072 42518840 48592960 68030144 85037680 170075360 340150720