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380031000 = 23353131967
BaseRepresentation
bin10110101001101…
…101000000011000
3222111002120112020
4112221231000120
51234241443000
6101413214440
712263132046
oct2651550030
9874076466
10380031000
11185576a08
12a7331420
136096c31b
1438687396
152356bba0
hex16a6d018

380031000 has 128 divisors (see below), whose sum is σ = 1195983360. Its totient is φ = 100464000.

The previous prime is 380030969. The next prime is 380031017. The reversal of 380031000 is 130083.

It is a super-2 number, since 2×3800310002 = 288847121922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392517 + ... + 393483.

It is an arithmetic number, because the mean of its divisors is an integer number (9343620).

Almost surely, 2380031000 is an apocalyptic number.

380031000 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 380031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597991680).

380031000 is an abundant number, since it is smaller than the sum of its proper divisors (815952360).

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

380031000 is a wasteful number, since it uses less digits than its factorization.

380031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 380031000 is about 19494.3838066249. The cubic root of 380031000 is about 724.3353401112.

Adding to 380031000 its reverse (130083), we get a palindrome (380161083).

The spelling of 380031000 in words is "three hundred eighty million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 131 150 200 250 262 300 375 393 500 524 600 655 750 786 967 1000 1048 1310 1500 1572 1934 1965 2620 2901 3000 3144 3275 3868 3930 4835 5240 5802 6550 7736 7860 9670 9825 11604 13100 14505 15720 16375 19340 19650 23208 24175 26200 29010 32750 38680 39300 48350 49125 58020 65500 72525 78600 96700 98250 116040 120875 126677 131000 145050 193400 196500 241750 253354 290100 362625 380031 393000 483500 506708 580200 633385 725250 760062 967000 1013416 1266770 1450500 1520124 1900155 2533540 2901000 3040248 3166925 3800310 5067080 6333850 7600620 9500775 12667700 15201240 15834625 19001550 25335400 31669250 38003100 47503875 63338500 76006200 95007750 126677000 190015500 380031000