Search a number
-
+
412330140 = 223253835981
BaseRepresentation
bin11000100100111…
…010100010011100
31001201212112121200
4120210322202130
51321024031030
6104525355500
713134514455
oct3044724234
91051775550
10412330140
111a1827812
12b6108b90
136756a941
143ca9412c
15262ebd60
hex1893a89c

412330140 has 72 divisors (see below), whose sum is σ = 1254210048. Its totient is φ = 109649280.

The previous prime is 412330129. The next prime is 412330169. The reversal of 412330140 is 41033214.

It is a super-2 number, since 2×4123301402 = 340032288704839200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 65950 + ... + 71930.

It is an arithmetic number, because the mean of its divisors is an integer number (17419584).

Almost surely, 2412330140 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 412330140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627105024).

412330140 is an abundant number, since it is smaller than the sum of its proper divisors (841879908).

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

412330140 is a wasteful number, since it uses less digits than its factorization.

412330140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 412330140 is about 20305.9139168864. The cubic root of 412330140 is about 744.3005852726.

Adding to 412330140 its reverse (41033214), we get a palindrome (453363354).

The spelling of 412330140 in words is "four hundred twelve million, three hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 383 766 1149 1532 1915 2298 3447 3830 4596 5745 5981 6894 7660 11490 11962 13788 17235 17943 22980 23924 29905 34470 35886 53829 59810 68940 71772 89715 107658 119620 179430 215316 269145 358860 538290 1076580 2290723 4581446 6872169 9162892 11453615 13744338 20616507 22907230 27488676 34360845 41233014 45814460 68721690 82466028 103082535 137443380 206165070 412330140