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640345176 = 233431127251
BaseRepresentation
bin100110001010101…
…110010001011000
31122121220220110000
4212022232101120
52302412021201
6143312453000
721603562362
oct4612562130
91577826400
10640345176
112a9504899
1215a54a160
13a2883593
1461089d32
153b33bd86
hex262ae458

640345176 has 160 divisors (see below), whose sum is σ = 1873428480. Its totient is φ = 204120000.

The previous prime is 640345117. The next prime is 640345183. The reversal of 640345176 is 671543046.

It is a happy number.

640345176 is a `hidden beast` number, since 640 + 3 + 4 + 5 + 1 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 640345176.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2551051 + ... + 2551301.

It is an arithmetic number, because the mean of its divisors is an integer number (11708928).

Almost surely, 2640345176 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 640345176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936714240).

640345176 is an abundant number, since it is smaller than the sum of its proper divisors (1233083304).

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

640345176 is a wasteful number, since it uses less digits than its factorization.

640345176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 640345176 is about 25305.0425014462. The cubic root of 640345176 is about 861.9287771574.

The spelling of 640345176 in words is "six hundred forty million, three hundred forty-five thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 127 162 186 216 248 251 254 279 324 372 381 502 508 558 648 744 753 762 837 1004 1016 1116 1143 1506 1524 1674 2008 2232 2259 2286 2511 3012 3048 3348 3429 3937 4518 4572 5022 6024 6696 6777 6858 7781 7874 9036 9144 10044 10287 11811 13554 13716 15562 15748 18072 20088 20331 20574 23343 23622 27108 27432 31124 31496 31877 35433 40662 41148 46686 47244 54216 62248 63754 70029 70866 81324 82296 93372 94488 95631 106299 127508 140058 141732 162648 186744 191262 210087 212598 255016 280116 283464 286893 318897 382524 420174 425196 560232 573786 630261 637794 765048 840348 850392 860679 988187 1147572 1260522 1275588 1680696 1721358 1976374 2295144 2521044 2551176 2582037 2964561 3442716 3952748 5042088 5164074 5929122 6885432 7905496 8893683 10328148 11858244 17787366 20656296 23716488 26681049 35574732 53362098 71149464 80043147 106724196 160086294 213448392 320172588 640345176