Search a number
-
+
381350700 = 223352141241
BaseRepresentation
bin10110101110101…
…111001100101100
3222120120121211000
4112232233030230
51240111210300
6101501400300
712310266423
oct2656571454
9876517730
10381350700
11186298475
12a7869090
1361011c03
143890c2ba
152372cc00
hex16baf32c

381350700 has 72 divisors (see below), whose sum is σ = 1225980560. Its totient is φ = 101692800.

The previous prime is 381350687. The next prime is 381350701. The reversal of 381350700 is 7053183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (381350701) 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 23 ways as a sum of consecutive naturals, for example, 67921 + ... + 73320.

Almost surely, 2381350700 is an apocalyptic number.

381350700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381350700 is an abundant number, since it is smaller than the sum of its proper divisors (844629860).

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

381350700 is a wasteful number, since it uses less digits than its factorization.

381350700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141264 (or 141251 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 381350700 is about 19528.2026822747. The cubic root of 381350700 is about 725.1728165119.

The spelling of 381350700 in words is "three hundred eighty-one million, three hundred fifty 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 141241 282482 423723 564964 706205 847446 1271169 1412410 1694892 2118615 2542338 2824820 3531025 3813507 4237230 5084676 6355845 7062050 7627014 8474460 10593075 12711690 14124100 15254028 19067535 21186150 25423380 31779225 38135070 42372300 63558450 76270140 95337675 127116900 190675350 381350700