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389414064 = 243133141491
BaseRepresentation
bin10111001101011…
…111110010110000
31000010202021200010
4113031133302300
51244142222224
6102350254520
712435651654
oct2715376260
91003667603
10389414064
1118a8a5606
12aa4b7440
13628a6130
1439a0aa64
15242c1e29
hex1735fcb0

389414064 has 160 divisors (see below), whose sum is σ = 1147926528. Its totient is φ = 112896000.

The previous prime is 389414041. The next prime is 389414089. The reversal of 389414064 is 460414983.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 792859 + ... + 793349.

Almost surely, 2389414064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389414064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573963264).

389414064 is an abundant number, since it is smaller than the sum of its proper divisors (758512464).

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

389414064 is a wasteful number, since it uses less digits than its factorization.

389414064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 389414064 is about 19733.5770705668. The cubic root of 389414064 is about 730.2482823444.

The spelling of 389414064 in words is "three hundred eighty-nine million, four hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 41 48 52 62 78 82 93 104 123 124 156 164 186 208 246 248 312 328 372 403 491 492 496 533 624 656 744 806 982 984 1066 1209 1271 1473 1488 1599 1612 1964 1968 2132 2418 2542 2946 3198 3224 3813 3928 4264 4836 5084 5892 6383 6396 6448 7626 7856 8528 9672 10168 11784 12766 12792 15221 15252 16523 19149 19344 20131 20336 23568 25532 25584 30442 30504 33046 38298 40262 45663 49569 51064 60393 60884 61008 66092 76596 80524 91326 99138 102128 120786 121768 132184 153192 161048 182652 197873 198276 241572 243536 261703 264368 306384 322096 365304 395746 396552 483144 523406 593619 624061 730608 785109 791492 793104 966288 1046812 1187238 1248122 1570218 1582984 1872183 2093624 2374476 2496244 3140436 3165968 3744366 4187248 4748952 4992488 6280872 7488732 8112793 9497904 9984976 12561744 14977464 16225586 24338379 29954928 32451172 48676758 64902344 97353516 129804688 194707032 389414064