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380040660 = 223451912347
BaseRepresentation
bin10110101001101…
…111010111010100
3222111010001210000
4112221233113110
51234242300120
6101413331300
712263202156
oct2651572724
9874101700
10380040660
1118558319a
12a7336b30
136097383c
143868aad6
152356e990
hex16a6f5d4

380040660 has 120 divisors (see below), whose sum is σ = 1255050720. Its totient is φ = 96002496.

The previous prime is 380040643. The next prime is 380040667. The reversal of 380040660 is 66040083.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380040667) 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 39 ways as a sum of consecutive naturals, for example, 24607 + ... + 36953.

It is an arithmetic number, because the mean of its divisors is an integer number (10458756).

Almost surely, 2380040660 is an apocalyptic number.

380040660 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 380040660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627525360).

380040660 is an abundant number, since it is smaller than the sum of its proper divisors (875010060).

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

380040660 is a wasteful number, since it uses less digits than its factorization.

380040660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12387 (or 12376 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 380040660 is about 19494.6315687166. The cubic root of 380040660 is about 724.3414773475.

The spelling of 380040660 in words is "three hundred eighty million, forty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 10260 12347 15390 24694 30780 37041 49388 61735 74082 111123 123470 148164 185205 222246 234593 246940 333369 370410 444492 469186 555615 666738 703779 740820 938372 1000107 1111230 1172965 1333476 1407558 1666845 2000214 2111337 2222460 2345930 2815116 3333690 3518895 4000428 4222674 4691860 5000535 6334011 6667380 7037790 8445348 10001070 10556685 12668022 14075580 19002033 20002140 21113370 25336044 31670055 38004066 42226740 63340110 76008132 95010165 126680220 190020330 380040660