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309215232 = 21434233
BaseRepresentation
bin10010011011100…
…100000000000000
3210112211202120000
4102123210000000
51113124341412
650403320000
710443200064
oct2233440000
9715752500
10309215232
111495a8a87
1287680000
134c0a63c1
142d0d1aa4
151c22e4dc
hex126e4000

309215232 has 150 divisors (see below), whose sum is σ = 927764838. Its totient is φ = 102629376.

The previous prime is 309215213. The next prime is 309215267. The reversal of 309215232 is 232512903.

309215232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 224280576 + 84934656 = 14976^2 + 9216^2 .

It is a super-2 number, since 2×3092152322 = 191228119401627648, which contains 22 as substring.

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

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 309215196 and 309215205.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1326988 + ... + 1327220.

Almost surely, 2309215232 is an apocalyptic number.

309215232 is a gapful number since it is divisible by the number (32) 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 309215232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463882419).

309215232 is an abundant number, since it is smaller than the sum of its proper divisors (618549606).

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

309215232 is an frugal number, since it uses more digits than its factorization.

309215232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 309215232 is about 17584.5168258898. The cubic root of 309215232 is about 676.2183625180.

The spelling of 309215232 in words is "three hundred nine million, two hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 233 256 288 324 384 432 466 512 576 648 699 768 864 932 1024 1152 1296 1398 1536 1728 1864 2048 2097 2304 2592 2796 3072 3456 3728 4096 4194 4608 5184 5592 6144 6291 6912 7456 8192 8388 9216 10368 11184 12288 12582 13824 14912 16384 16776 18432 18873 20736 22368 24576 25164 27648 29824 33552 36864 37746 41472 44736 49152 50328 55296 59648 67104 73728 75492 82944 89472 100656 110592 119296 134208 147456 150984 165888 178944 201312 221184 238592 268416 301968 331776 357888 402624 442368 477184 536832 603936 663552 715776 805248 954368 1073664 1207872 1327104 1431552 1610496 1908736 2147328 2415744 2863104 3220992 3817472 4294656 4831488 5726208 6441984 8589312 9662976 11452416 12883968 17178624 19325952 25767936 34357248 38651904 51535872 77303808 103071744 154607616 309215232