Search a number
-
+
1045030356 = 2233671391039
BaseRepresentation
bin111110010010011…
…110010111010100
32200211102001011000
4332102132113110
54120011432411
6251410343300
734616416506
oct7622362724
92624361130
101045030356
1149698a857
12251b8ab30
13138675576
149cb0dd76
1561b28956
hex3e49e5d4

1045030356 has 96 divisors (see below), whose sum is σ = 2772224000. Its totient is φ = 340347744.

The previous prime is 1045030351. The next prime is 1045030379. The reversal of 1045030356 is 6530305401.

1045030356 is a `hidden beast` number, since 104 + 503 + 0 + 3 + 56 = 666.

It is a super-2 number, since 2×10450303562 = 2184176889922973472, which contains 22 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 (1045030351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005285 + ... + 1006323.

Almost surely, 21045030356 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 1045030356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386112000).

1045030356 is an abundant number, since it is smaller than the sum of its proper divisors (1727193644).

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

1045030356 is a wasteful number, since it uses less digits than its factorization.

1045030356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1045030356 is about 32326.9292695734. The cubic root of 1045030356 is about 1014.7902875884.

Adding to 1045030356 its reverse (6530305401), we get a palindrome (7575335757).

The spelling of 1045030356 in words is "one billion, forty-five million, thirty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 139 201 268 278 402 417 556 603 804 834 1039 1206 1251 1668 1809 2078 2412 2502 3117 3618 3753 4156 5004 6234 7236 7506 9313 9351 12468 15012 18626 18702 27939 28053 37252 37404 55878 56106 69613 83817 111756 112212 139226 144421 167634 208839 251451 278452 288842 335268 417678 433263 502902 577684 626517 835356 866526 1005804 1253034 1299789 1733052 1879551 2506068 2599578 3759102 3899367 5199156 7518204 7798734 9676207 15597468 19352414 29028621 38704828 58057242 87085863 116114484 174171726 261257589 348343452 522515178 1045030356