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412940484 = 2233111931801
BaseRepresentation
bin11000100111001…
…111100011000100
31001210000112212000
4120213033203010
51321203043414
6104550425300
713142636055
oct3047174304
91053015760
10412940484
111a2104330
12b6362230
13677226a8
143cbb272c
15263bcb09
hex189cf8c4

412940484 has 96 divisors (see below), whose sum is σ = 1174615680. Its totient is φ = 124416000.

The previous prime is 412940453. The next prime is 412940501. The reversal of 412940484 is 484049214.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228384 + ... + 230184.

It is an arithmetic number, because the mean of its divisors is an integer number (12235580).

Almost surely, 2412940484 is an apocalyptic number.

412940484 is a gapful number since it is divisible by the number (44) 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 412940484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587307840).

412940484 is an abundant number, since it is smaller than the sum of its proper divisors (761675196).

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

412940484 is a wasteful number, since it uses less digits than its factorization.

412940484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 412940484 is about 20320.9370846917. The cubic root of 412940484 is about 744.6676499054.

Adding to 412940484 its reverse (484049214), we get a palindrome (896989698).

The spelling of 412940484 in words is "four hundred twelve million, nine hundred forty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 193 198 297 386 396 579 594 772 1158 1188 1737 1801 2123 2316 3474 3602 4246 5211 5403 6369 6948 7204 8492 10422 10806 12738 16209 19107 19811 20844 21612 25476 32418 38214 39622 48627 57321 59433 64836 76428 79244 97254 114642 118866 178299 194508 229284 237732 347593 356598 534897 695186 713196 1042779 1069794 1390372 2085558 2139588 3128337 3823523 4171116 6256674 7647046 9385011 11470569 12513348 15294092 18770022 22941138 34411707 37540044 45882276 68823414 103235121 137646828 206470242 412940484