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4576067340 = 22351318132413
BaseRepresentation
bin1000100001100000…
…10011111100001100
3102210220200022021120
410100300103330030
533332433123330
62034025000540
7221253634125
oct42060237414
912726608246
104576067340
111a39086139
12a78623150
1357c08ab70
14315a6b04c
151bbb16c10
hex110c13f0c

4576067340 has 96 divisors (see below), whose sum is σ = 13875266496. Its totient is φ = 1120158720.

The previous prime is 4576067339. The next prime is 4576067347. The reversal of 4576067340 is 437606754.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4576067292 and 4576067301.

It is not an unprimeable number, because it can be changed into a prime (4576067347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124974 + ... + 157386.

It is an arithmetic number, because the mean of its divisors is an integer number (144534026).

Almost surely, 24576067340 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 4576067340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937633248).

4576067340 is an abundant number, since it is smaller than the sum of its proper divisors (9299199156).

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

4576067340 is a wasteful number, since it uses less digits than its factorization.

4576067340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32619 (or 32617 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 4576067340 is about 67646.6358365292. The cubic root of 4576067340 is about 1660.2142438919.

The spelling of 4576067340 in words is "four billion, five hundred seventy-six million, sixty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 181 195 260 362 390 543 724 780 905 1086 1810 2172 2353 2715 3620 4706 5430 7059 9412 10860 11765 14118 23530 28236 32413 35295 47060 64826 70590 97239 129652 141180 162065 194478 324130 388956 421369 486195 648260 842738 972390 1264107 1685476 1944780 2106845 2528214 4213690 5056428 5866753 6320535 8427380 11733506 12641070 17600259 23467012 25282140 29333765 35200518 58667530 70401036 76267789 88001295 117335060 152535578 176002590 228803367 305071156 352005180 381338945 457606734 762677890 915213468 1144016835 1525355780 2288033670 4576067340