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413246430 = 232531732029
BaseRepresentation
bin11000101000011…
…010001111011110
31001210121002112100
4120220122033132
51321242341210
6105001145530
713145352042
oct3050321736
91053532470
10413246430
111a22a3183
12b648b2a6
13677cba1c
143cc52022
152642d5c0
hex18a1a3de

413246430 has 96 divisors (see below), whose sum is σ = 1124847360. Its totient is φ = 105131520.

The previous prime is 413246401. The next prime is 413246441. The reversal of 413246430 is 34642314.

413246430 is a `hidden beast` number, since 4 + 13 + 2 + 4 + 643 + 0 = 666.

It is a super-2 number, since 2×4132464302 = 341545223815489800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413246394 and 413246403.

It is a congruent number.

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, 202656 + ... + 204684.

It is an arithmetic number, because the mean of its divisors is an integer number (11717160).

Almost surely, 2413246430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413246430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562423680).

413246430 is an abundant number, since it is smaller than the sum of its proper divisors (711600930).

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

413246430 is a wasteful number, since it uses less digits than its factorization.

413246430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 413246430 is about 20328.4635425307. The cubic root of 413246430 is about 744.8515116281.

Adding to 413246430 its reverse (34642314), we get a palindrome (447888744).

The spelling of 413246430 in words is "four hundred thirteen million, two hundred forty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 73 90 93 146 155 186 219 279 310 365 438 465 558 657 730 930 1095 1314 1395 2029 2190 2263 2790 3285 4058 4526 6087 6570 6789 10145 11315 12174 13578 18261 20290 20367 22630 30435 33945 36522 40734 60870 62899 67890 91305 101835 125798 148117 182610 188697 203670 296234 314495 377394 444351 566091 628990 740585 888702 943485 1132182 1333053 1481170 1886970 2221755 2666106 2830455 4443510 4591627 5660910 6665265 9183254 13330530 13774881 22958135 27549762 41324643 45916270 68874405 82649286 137748810 206623215 413246430