Search a number
-
+
3399340312900 = 225272263392
BaseRepresentation
bin110001011101111000011…
…110001100100101000100
3110000222021212112001212101
4301131320132030211010
5421143322110003100
611121345124201444
7500410551624100
oct61357036144504
913028255461771
103399340312900
1110a0719a93424
1246a994239284
131b87305a4c3c
14ba759616900
155d65827e86a
hex3177878c944

3399340312900 has 81 divisors (see below), whose sum is σ = 8581231989309. Its totient is φ = 1165443857760.

The previous prime is 3399340312897. The next prime is 3399340312919. The reversal of 3399340312900 is 92130439933.

The square root of 3399340312900 is 1843730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1223762512644 + 2175577800256 = 1106238^2 + 1474984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129047931 + ... + 129074269.

Almost surely, 23399340312900 is an apocalyptic number.

3399340312900 is the 1843730-th square number.

It is an amenable number.

3399340312900 is an abundant number, since it is smaller than the sum of its proper divisors (5181891676409).

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

3399340312900 is an frugal number, since it uses more digits than its factorization.

3399340312900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52706 (or 26353 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 46.

The spelling of 3399340312900 in words is "three trillion, three hundred ninety-nine billion, three hundred forty million, three hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 26339 52678 105356 131695 184373 263390 368746 526780 658475 737492 921865 1290611 1316950 1843730 2581222 2633900 3687460 4609325 5162444 6453055 9218650 12906110 18437300 25812220 32265275 64530550 129061100 693742921 1387485842 2774971684 3468714605 4856200447 6937429210 9712400894 13874858420 17343573025 19424801788 24281002235 33993403129 34687146050 48562004470 67986806258 69374292100 97124008940 121405011175 135973612516 169967015645 242810022350 339934031290 485620044700 679868062580 849835078225 1699670156450 3399340312900