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671245440 = 2735418527
BaseRepresentation
bin101000000000100…
…110010010000000
31201210001210122020
4220000212102000
52333314323230
6150335041440
722430330535
oct5000462200
91653053566
10671245440
1131499a6a8
12168970280
13a90b2268
1465210d8c
153dde2810
hex28026480

671245440 has 128 divisors (see below), whose sum is σ = 2192037120. Its totient is φ = 174612480.

The previous prime is 671245429. The next prime is 671245499. The reversal of 671245440 is 44542176.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74457 + ... + 82983.

It is an arithmetic number, because the mean of its divisors is an integer number (17125290).

Almost surely, 2671245440 is an apocalyptic number.

671245440 is a gapful number since it is divisible by the number (60) 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 671245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096018560).

671245440 is an abundant number, since it is smaller than the sum of its proper divisors (1520791680).

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

671245440 is a wasteful number, since it uses less digits than its factorization.

671245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8590 (or 8578 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 671245440 is about 25908.4048138823. The cubic root of 671245440 is about 875.5758669059.

The spelling of 671245440 in words is "six hundred seventy-one million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 320 328 384 410 480 492 615 640 656 820 960 984 1230 1312 1640 1920 1968 2460 2624 3280 3936 4920 5248 6560 7872 8527 9840 13120 15744 17054 19680 25581 26240 34108 39360 42635 51162 68216 78720 85270 102324 127905 136432 170540 204648 255810 272864 341080 349607 409296 511620 545728 682160 699214 818592 1023240 1048821 1091456 1364320 1398428 1637184 1748035 2046480 2097642 2728640 2796856 3274368 3496070 4092960 4195284 5244105 5457280 5593712 6992140 8185920 8390568 10488210 11187424 13984280 16371840 16781136 20976420 22374848 27968560 33562272 41952840 44749696 55937120 67124544 83905680 111874240 134249088 167811360 223748480 335622720 671245440