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412044240 = 24357124181
BaseRepresentation
bin11000100011110…
…100101111010000
31001201100000102210
4120203310233100
51320440403430
6104515312120
713132214106
oct3043645720
91051300383
10412044240
111a1651a33
12b5bab640
136749a77a
143ca1bc76
15262922b0
hex188f4bd0

412044240 has 80 divisors (see below), whose sum is σ = 1295381376. Its totient is φ = 108326400.

The previous prime is 412044239. The next prime is 412044289. The reversal of 412044240 is 42440214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4950 + ... + 29130.

Almost surely, 2412044240 is an apocalyptic number.

412044240 is a gapful number since it is divisible by the number (40) 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 412044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647690688).

412044240 is an abundant number, since it is smaller than the sum of its proper divisors (883337136).

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

412044240 is a wasteful number, since it uses less digits than its factorization.

412044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24268 (or 24262 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 412044240 is about 20298.8728751130. The cubic root of 412044240 is about 744.1285186702.

Adding to 412044240 its reverse (42440214), we get a palindrome (454484454).

The spelling of 412044240 in words is "four hundred twelve million, forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 24181 48362 72543 96724 120905 145086 193448 241810 290172 362715 386896 483620 580344 725430 967240 1160688 1450860 1716851 1934480 2901720 3433702 5150553 5803440 6867404 8584255 10301106 13734808 17168510 20602212 25752765 27469616 34337020 41204424 51505530 68674040 82408848 103011060 137348080 206022120 412044240