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270320904 = 233271928229
BaseRepresentation
bin10000000111001…
…100010100001000
3200211122201120100
4100013030110020
51023200232104
642453525400
76461455410
oct2007142410
9624581510
10270320904
11129653107
1276643860
1344008bc9
1427c89640
1518aea139
hex101cc508

270320904 has 96 divisors (see below), whose sum is σ = 880776000. Its totient is φ = 73166976.

The previous prime is 270320903. The next prime is 270320987. The reversal of 270320904 is 409023072.

270320904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2703209042 = 146146782278754432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270320903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4539 + ... + 23690.

It is an arithmetic number, because the mean of its divisors is an integer number (9174750).

Almost surely, 2270320904 is an apocalyptic number.

270320904 is a gapful number since it is divisible by the number (24) 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 270320904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440388000).

270320904 is an abundant number, since it is smaller than the sum of its proper divisors (610455096).

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

270320904 is a wasteful number, since it uses less digits than its factorization.

270320904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28267 (or 28260 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 270320904 is about 16441.4386231862. The cubic root of 270320904 is about 646.5863673749.

Adding to 270320904 its reverse (409023072), we get a palindrome (679343976).

The spelling of 270320904 in words is "two hundred seventy million, three hundred twenty thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 28229 56458 84687 112916 169374 197603 225832 254061 338748 395206 508122 536351 592809 677496 790412 1016244 1072702 1185618 1580824 1609053 1778427 2032488 2145404 2371236 3218106 3556854 3754457 4290808 4742472 4827159 6436212 7113708 7508914 9654318 11263371 12872424 14227416 15017828 19308636 22526742 30035656 33790113 38617272 45053484 67580226 90106968 135160452 270320904