Search a number
-
+
379973700 = 223352140731
BaseRepresentation
bin10110101001011…
…111000001000100
3222110222122221000
4112221133001010
51234233124300
6101412053300
712262503021
oct2651370104
9873878830
10379973700
11185537957
12a7304230
136094c212
1438670548
1523559c00
hex16a5f044

379973700 has 72 divisors (see below), whose sum is σ = 1221553760. Its totient is φ = 101325600.

The previous prime is 379973677. The next prime is 379973717. The reversal of 379973700 is 7379973.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 67666 + ... + 73065.

Almost surely, 2379973700 is an apocalyptic number.

379973700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379973700 is an abundant number, since it is smaller than the sum of its proper divisors (841580060).

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

379973700 is a wasteful number, since it uses less digits than its factorization.

379973700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140754 (or 140741 counting only the distinct ones).

The product of its (nonzero) digits is 250047, while the sum is 45.

The square root of 379973700 is about 19492.9140971790. The cubic root of 379973700 is about 724.2989338697.

The spelling of 379973700 in words is "three hundred seventy-nine million, nine hundred seventy-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 140731 281462 422193 562924 703655 844386 1266579 1407310 1688772 2110965 2533158 2814620 3518275 3799737 4221930 5066316 6332895 7036550 7599474 8443860 10554825 12665790 14073100 15198948 18998685 21109650 25331580 31664475 37997370 42219300 63328950 75994740 94993425 126657900 189986850 379973700