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412024704 = 2737132907
BaseRepresentation
bin11000100011101…
…111111110000000
31001201022000122020
4120203233332000
51320434242304
6104515041440
713132103130
oct3043577600
91051260566
10412024704
111a1639293
12b5ba0280
1367491900
143ca14ac0
152628b5d9
hex188eff80

412024704 has 192 divisors, whose sum is σ = 1355898240. Its totient is φ = 108546048.

The previous prime is 412024681. The next prime is 412024729. The reversal of 412024704 is 407420214.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453819 + ... + 454725.

It is an arithmetic number, because the mean of its divisors is an integer number (7061970).

Almost surely, 2412024704 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 412024704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677949120).

412024704 is an abundant number, since it is smaller than the sum of its proper divisors (943873536).

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

412024704 is a wasteful number, since it uses less digits than its factorization.

412024704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 412024704 is about 20298.3916604247. The cubic root of 412024704 is about 744.1167581818.

Adding to 412024704 its reverse (407420214), we get a palindrome (819444918).

The spelling of 412024704 in words is "four hundred twelve million, twenty-four thousand, seven hundred four".