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461564340 = 223519676043
BaseRepresentation
bin11011100000101…
…110100110110100
31012011111220020120
4123200232212310
51421130024330
6113444531540
714303142426
oct3340564664
91164456216
10461564340
112175a5136
1210a6b0bb0
13748185c3
144542c816
152a7c4c10
hex1b82e9b4

461564340 has 96 divisors (see below), whose sum is σ = 1380933120. Its totient is φ = 114846336.

The previous prime is 461564317. The next prime is 461564351. The reversal of 461564340 is 43465164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73359 + ... + 79401.

It is an arithmetic number, because the mean of its divisors is an integer number (14384720).

Almost surely, 2461564340 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 461564340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690466560).

461564340 is an abundant number, since it is smaller than the sum of its proper divisors (919368780).

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

461564340 is a wasteful number, since it uses less digits than its factorization.

461564340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 461564340 is about 21484.0485011555. The cubic root of 461564340 is about 772.8183332092.

The spelling of 461564340 in words is "four hundred sixty-one million, five hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 114 134 190 201 228 268 285 335 380 402 570 670 804 1005 1140 1273 1340 2010 2546 3819 4020 5092 6043 6365 7638 12086 12730 15276 18129 19095 24172 25460 30215 36258 38190 60430 72516 76380 90645 114817 120860 181290 229634 344451 362580 404881 459268 574085 688902 809762 1148170 1214643 1377804 1619524 1722255 2024405 2296340 2429286 3444510 4048810 4858572 6073215 6889020 7692739 8097620 12146430 15385478 23078217 24292860 30770956 38463695 46156434 76927390 92312868 115391085 153854780 230782170 461564340