Search a number
-
+
379722240 = 2932516481
BaseRepresentation
bin10110101000100…
…001101000000000
3222110111212222200
4112220201220000
51234202102430
6101402433200
712260404632
oct2650415000
9873455880
10379722240
11185385a37
12a7202800
1360891921
1438606a52
152350a460
hex16a21a00

379722240 has 120 divisors (see below), whose sum is σ = 1315164708. Its totient is φ = 101253120.

The previous prime is 379722227. The next prime is 379722257. The reversal of 379722240 is 42227973.

It can be written as a sum of positive squares in 2 ways, for example, as 374190336 + 5531904 = 19344^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 379722195 and 379722204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14800 + ... + 31280.

Almost surely, 2379722240 is an apocalyptic number.

379722240 is a gapful number since it is divisible by the number (30) 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 379722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657582354).

379722240 is an abundant number, since it is smaller than the sum of its proper divisors (935442468).

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

379722240 is a wasteful number, since it uses less digits than its factorization.

379722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16510 (or 16491 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 379722240 is about 19486.4629935758. The cubic root of 379722240 is about 724.1391224564.

The spelling of 379722240 in words is "three hundred seventy-nine million, seven hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 16481 23040 32962 49443 65924 82405 98886 131848 148329 164810 197772 247215 263696 296658 329620 395544 494430 527392 593316 659240 741645 791088 988860 1054784 1186632 1318480 1483290 1582176 1977720 2109568 2373264 2636960 2966580 3164352 3955440 4219136 4746528 5273920 5933160 6328704 7910880 8438272 9493056 10547840 11866320 12657408 15821760 18986112 21095680 23732640 25314816 31643520 37972224 42191360 47465280 63287040 75944448 94930560 126574080 189861120 379722240