Search a number
-
+
2945349120 = 2935754787
BaseRepresentation
bin1010111110001110…
…0111011000000000
321121021012020102110
42233203213120000
522013002132440
61204133015320
7132663024450
oct25743473000
97537166373
102945349120
11128163342a
126a2484540
1337c28b23c
141dd25bd60
1512389b080
hexaf8e7600

2945349120 has 160 divisors (see below), whose sum is σ = 10761239808. Its totient is φ = 673210368.

The previous prime is 2945349119. The next prime is 2945349131. The reversal of 2945349120 is 219435492.

It is a tau number, because it is divible by the number of its divisors (160).

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, 26367 + ... + 81153.

Almost surely, 22945349120 is an apocalyptic number.

2945349120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2945349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380619904).

2945349120 is an abundant number, since it is smaller than the sum of its proper divisors (7815890688).

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

2945349120 is an equidigital number, since it uses as much as digits as its factorization.

2945349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54820 (or 54804 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2945349120 is about 54271.0707467616. The cubic root of 2945349120 is about 1433.4380443904.

The spelling of 2945349120 in words is "two billion, nine hundred forty-five million, three hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 54787 109574 164361 219148 273935 328722 383509 438296 547870 657444 767018 821805 876592 1095740 1150527 1314888 1534036 1643610 1753184 1917545 2191480 2301054 2629776 3068072 3287220 3506368 3835090 4382960 4602108 5259552 5752635 6136144 6574440 7012736 7670180 8765920 9204216 10519104 11505270 12272288 13148880 14025472 15340360 17531840 18408432 21038208 23010540 24544576 26297760 28050944 30680720 35063680 36816864 42076416 46021080 49089152 52595520 61361440 70127360 73633728 84152832 92042160 98178304 105191040 122722880 140254720 147267456 184084320 196356608 210382080 245445760 294534912 368168640 420764160 490891520 589069824 736337280 981783040 1472674560 2945349120