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27344940 = 22357271131
BaseRepresentation
bin110100001010…
…0000000101100
31220110021012120
41220110000230
524000014230
62414032540
7451266600
oct150240054
956407176
1027344940
1114487727
1291a8750
13588564c
1438bb500
152602310
hex1a1402c

27344940 has 144 divisors (see below), whose sum is σ = 91010304. Its totient is φ = 6115200.

The previous prime is 27344923. The next prime is 27344951. The reversal of 27344940 is 4944372.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208675 + ... + 208805.

It is an arithmetic number, because the mean of its divisors is an integer number (632016).

Almost surely, 227344940 is an apocalyptic number.

27344940 is a gapful number since it is divisible by the number (20) 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 27344940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45505152).

27344940 is an abundant number, since it is smaller than the sum of its proper divisors (63665364).

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

27344940 is a wasteful number, since it uses less digits than its factorization.

27344940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 27344940 is about 5229.2389503636. The cubic root of 27344940 is about 301.2721533498.

The spelling of 27344940 in words is "twenty-seven million, three hundred forty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 71 84 98 105 131 140 142 147 196 210 213 245 262 284 294 355 393 420 426 490 497 524 588 655 710 735 786 852 917 980 994 1065 1310 1420 1470 1491 1572 1834 1965 1988 2130 2485 2620 2751 2940 2982 3479 3668 3930 4260 4585 4970 5502 5964 6419 6958 7455 7860 9170 9301 9940 10437 11004 12838 13755 13916 14910 17395 18340 18602 19257 20874 25676 27510 27903 29820 32095 34790 37204 38514 41748 46505 52185 55020 55806 64190 65107 69580 77028 93010 96285 104370 111612 128380 130214 139515 186020 192570 195321 208740 260428 279030 325535 385140 390642 455749 558060 651070 781284 911498 976605 1302140 1367247 1822996 1953210 2278745 2734494 3906420 4557490 5468988 6836235 9114980 13672470 27344940