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64834380 = 2232513103269
BaseRepresentation
bin1111011101010…
…0101101001100
311111222221001100
43313110231030
5113044200010
610233343100
71415040342
oct367245514
9144887040
1064834380
1133663036
1219867a90
1310580550
148879992
155a5a2c0
hex3dd4b4c

64834380 has 144 divisors (see below), whose sum is σ = 214643520. Its totient is φ = 15745536.

The previous prime is 64834373. The next prime is 64834463. The reversal of 64834380 is 8343846.

64834380 is a `hidden beast` number, since 648 + 3 + 4 + 3 + 8 + 0 = 666.

It is a super-3 number, since 3×648343803 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240886 + ... + 241154.

It is an arithmetic number, because the mean of its divisors is an integer number (1490580).

Almost surely, 264834380 is an apocalyptic number.

64834380 is a gapful number since it is divisible by the number (60) 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 64834380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

64834380 is an abundant number, since it is smaller than the sum of its proper divisors (149809140).

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

64834380 is a wasteful number, since it uses less digits than its factorization.

64834380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 64834380 is about 8051.9798807498. The cubic root of 64834380 is about 401.7307917646.

The spelling of 64834380 in words is "sixty-four million, eight hundred thirty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 103 117 130 156 180 195 206 234 260 269 309 390 412 468 515 538 585 618 780 807 927 1030 1076 1170 1236 1339 1345 1545 1614 1854 2060 2340 2421 2678 2690 3090 3228 3497 3708 4017 4035 4635 4842 5356 5380 6180 6695 6994 8034 8070 9270 9684 10491 12051 12105 13390 13988 16068 16140 17485 18540 20085 20982 24102 24210 26780 27707 31473 34970 40170 41964 48204 48420 52455 55414 60255 62946 69940 80340 83121 104910 110828 120510 125892 138535 157365 166242 209820 241020 249363 277070 314730 332484 360191 415605 498726 554140 629460 720382 831210 997452 1080573 1246815 1440764 1662420 1800955 2161146 2493630 3241719 3601910 4322292 4987260 5402865 6483438 7203820 10805730 12966876 16208595 21611460 32417190 64834380