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381369660 = 223577271249
BaseRepresentation
bin10110101110110…
…011110100111100
3222120121120211020
4112232303310330
51240112312120
6101502024140
712310405620
oct2656636474
9876546736
10381369660
11186300741
12a7878050
136101a729
1438915180
1523733640
hex16bb3d3c

381369660 has 96 divisors (see below), whose sum is σ = 1223040000. Its totient is φ = 86980608.

The previous prime is 381369643. The next prime is 381369661. The reversal of 381369660 is 66963183.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381369661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304716 + ... + 305964.

It is an arithmetic number, because the mean of its divisors is an integer number (12740000).

Almost surely, 2381369660 is an apocalyptic number.

381369660 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 381369660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611520000).

381369660 is an abundant number, since it is smaller than the sum of its proper divisors (841670340).

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

381369660 is a wasteful number, since it uses less digits than its factorization.

381369660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 381369660 is about 19528.6881279824. The cubic root of 381369660 is about 725.1848343639.

The spelling of 381369660 in words is "three hundred eighty-one million, three hundred sixty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 727 1249 1454 2181 2498 2908 3635 3747 4362 4996 5089 6245 7270 7494 8724 8743 10178 10905 12490 14540 14988 15267 17486 18735 20356 21810 24980 25445 26229 30534 34972 37470 43620 43715 50890 52458 61068 74940 76335 87430 101780 104916 131145 152670 174860 262290 305340 524580 908023 1816046 2724069 3632092 4540115 5448138 6356161 9080230 10896276 12712322 13620345 18160460 19068483 25424644 27240690 31780805 38136966 54481380 63561610 76273932 95342415 127123220 190684830 381369660