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412340412 = 2231122312347
BaseRepresentation
bin11000100100111…
…101000010111100
31001201220001201010
4120210331002330
51321024343122
6104525515220
713134556431
oct3044750274
91051801633
10412340412
111a1834500
12b6112b10
1367572513
143ca97b88
15262eee0c
hex1893d0bc

412340412 has 72 divisors (see below), whose sum is σ = 1103614848. Its totient is φ = 119509280.

The previous prime is 412340399. The next prime is 412340417. The reversal of 412340412 is 214043214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412340417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27223 + ... + 39569.

It is an arithmetic number, because the mean of its divisors is an integer number (15327984).

Almost surely, 2412340412 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 412340412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551807424).

412340412 is an abundant number, since it is smaller than the sum of its proper divisors (691274436).

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

412340412 is a wasteful number, since it uses less digits than its factorization.

412340412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12399 (or 12386 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 412340412 is about 20306.1668465518. The cubic root of 412340412 is about 744.3067659123.

Adding to 412340412 its reverse (214043214), we get a palindrome (626383626).

The spelling of 412340412 in words is "four hundred twelve million, three hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1452 1518 2783 3036 5566 8349 11132 12347 16698 24694 33396 37041 49388 74082 135817 148164 271634 283981 407451 543268 567962 814902 851943 1135924 1493987 1629804 1703886 2987974 3123791 3407772 4481961 5975948 6247582 8963922 9371373 12495164 17927844 18742746 34361701 37485492 68723402 103085103 137446804 206170206 412340412