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404343252 = 22353711243
BaseRepresentation
bin11000000110011…
…100100111010100
31001011211202200000
4120012130213110
51312002441002
6104042251300
713006601205
oct3006344724
91034752600
10404343252
11198272085
12b34b6b30
1365a02481
143b9b55ac
152577061c
hex1819c9d4

404343252 has 72 divisors (see below), whose sum is σ = 1088689056. Its totient is φ = 131126688.

The previous prime is 404343217. The next prime is 404343257. The reversal of 404343252 is 252343404.

404343252 is a `hidden beast` number, since 404 + 3 + 4 + 3 + 252 = 666.

It is a super-3 number, since 3×4043432523 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404343257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30343 + ... + 41585.

Almost surely, 2404343252 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 404343252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544344528).

404343252 is an abundant number, since it is smaller than the sum of its proper divisors (684345804).

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

404343252 is a wasteful number, since it uses less digits than its factorization.

404343252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11299 (or 11285 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 404343252 is about 20108.2881419578. The cubic root of 404343252 is about 739.4634849836.

Adding to 404343252 its reverse (252343404), we get a palindrome (656686656).

The spelling of 404343252 in words is "four hundred four million, three hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 972 999 1332 1998 2997 3996 5994 8991 11243 11988 17982 22486 33729 35964 44972 67458 101187 134916 202374 303561 404748 415991 607122 831982 910683 1214244 1247973 1663964 1821366 2495946 2732049 3642732 3743919 4991892 5464098 7487838 10928196 11231757 14975676 22463514 33695271 44927028 67390542 101085813 134781084 202171626 404343252