Search a number
-
+
379003900 = 225211291092
BaseRepresentation
bin10110100101110…
…010001111111100
3222102011101121111
4112211302033330
51234011111100
6101335211404
712251323432
oct2645621774
9872141544
10379003900
11184a35270
12a6b16b64
136069c982
143849ad52
15234176ba
hex169723fc

379003900 has 108 divisors (see below), whose sum is σ = 936736920. Its totient is φ = 131846400.

The previous prime is 379003883. The next prime is 379003903. The reversal of 379003900 is 9300973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379003903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3477046 + ... + 3477154.

It is an arithmetic number, because the mean of its divisors is an integer number (8673490).

Almost surely, 2379003900 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 379003900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468368460).

379003900 is an abundant number, since it is smaller than the sum of its proper divisors (557733020).

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

379003900 is a wasteful number, since it uses less digits than its factorization.

379003900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 31.

The square root of 379003900 is about 19468.0224984460. The cubic root of 379003900 is about 723.6822038605.

The spelling of 379003900 in words is "three hundred seventy-nine million, three thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 109 110 116 145 218 220 275 290 319 436 545 550 580 638 725 1090 1100 1199 1276 1450 1595 2180 2398 2725 2900 3161 3190 4796 5450 5995 6322 6380 7975 10900 11881 11990 12644 15805 15950 23762 23980 29975 31610 31900 34771 47524 59405 59950 63220 69542 79025 118810 119900 130691 139084 158050 173855 237620 261382 297025 316100 344549 347710 522764 594050 653455 689098 695420 869275 1188100 1306910 1378196 1722745 1738550 2613820 3267275 3445490 3477100 3790039 6534550 6890980 7580078 8613725 13069100 15160156 17227450 18950195 34454900 37900390 75800780 94750975 189501950 379003900