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412273134 = 2327132191019
BaseRepresentation
bin11000100100101…
…100100111101110
31001201202122102100
4120210230213232
51321020220014
6104524235530
713134156330
oct3044544756
91051678370
10412273134
111a17989a9
12b609bba6
136754aa00
143ca7b450
15262da009
hex1892c9ee

412273134 has 144 divisors (see below), whose sum is σ = 1164758400. Its totient is φ = 102907584.

The previous prime is 412273117. The next prime is 412273139. The reversal of 412273134 is 431372214.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 412273098 and 412273107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412273139) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 404077 + ... + 405095.

It is an arithmetic number, because the mean of its divisors is an integer number (8088600).

Almost surely, 2412273134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412273134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582379200).

412273134 is an abundant number, since it is smaller than the sum of its proper divisors (752485266).

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

412273134 is a wasteful number, since it uses less digits than its factorization.

412273134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1063 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 412273134 is about 20304.5101886256. The cubic root of 412273134 is about 744.2662830225.

The spelling of 412273134 in words is "four hundred twelve million, two hundred seventy-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 57 63 78 91 114 117 126 133 169 171 182 234 247 266 273 338 342 399 494 507 546 741 798 819 1014 1019 1183 1197 1482 1521 1638 1729 2038 2223 2366 2394 3042 3057 3211 3458 3549 4446 5187 6114 6422 7098 7133 9171 9633 10374 10647 13247 14266 15561 18342 19266 19361 21294 21399 22477 26494 28899 31122 38722 39741 42798 44954 57798 58083 64197 67431 79482 92729 116166 119223 128394 134862 135527 172211 174249 185458 202293 238446 251693 271054 278187 344422 348498 404586 406581 503386 516633 556374 755079 813162 834561 1033266 1205477 1219743 1510158 1549899 1669122 1761851 2265237 2410954 2439486 3099798 3272009 3523702 3616431 4530474 5285553 6544018 7232862 9816027 10571106 10849293 15856659 19632054 21698586 22904063 29448081 31713318 45808126 58896162 68712189 137424378 206136567 412273134