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379663700 = 225213192809
BaseRepresentation
bin10110101000010…
…011010101010100
3222110101220200112
4112220103111110
51234143214300
6101401302152
712260042153
oct2650232524
9873356615
10379663700
11185345a59
12a7194958
13608710a0
14385cd59a
15234e7e35
hex16a13554

379663700 has 108 divisors (see below), whose sum is σ = 937557180. Its totient is φ = 132641280.

The previous prime is 379663699. The next prime is 379663709. The reversal of 379663700 is 7366973.

It can be written as a sum of positive squares in 6 ways, for example, as 5550736 + 374112964 = 2356^2 + 19342^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379663709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 468896 + ... + 469704.

It is an arithmetic number, because the mean of its divisors is an integer number (8681085).

Almost surely, 2379663700 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 379663700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468778590).

379663700 is an abundant number, since it is smaller than the sum of its proper divisors (557893480).

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

379663700 is a wasteful number, since it uses less digits than its factorization.

379663700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 41.

The square root of 379663700 is about 19484.9608672946. The cubic root of 379663700 is about 724.1019081645.

The spelling of 379663700 in words is "three hundred seventy-nine million, six hundred sixty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 361 380 475 494 650 722 809 950 988 1235 1300 1444 1618 1805 1900 2470 3236 3610 4045 4693 4940 6175 7220 8090 9025 9386 10517 12350 15371 16180 18050 18772 20225 21034 23465 24700 30742 36100 40450 42068 46930 52585 61484 76855 80900 93860 105170 117325 153710 199823 210340 234650 262925 292049 307420 384275 399646 469300 525850 584098 768550 799292 999115 1051700 1168196 1460245 1537100 1998230 2920490 3796637 3996460 4995575 5840980 7301225 7593274 9991150 14602450 15186548 18983185 19982300 29204900 37966370 75932740 94915925 189831850 379663700