Search a number
-
+
3422266452 = 22321129319613
BaseRepresentation
bin1100101111111011…
…1010010001010100
322211111121011000100
43023332322101110
524002100011302
61323331014100
7150543533133
oct31376722124
98744534010
103422266452
1114a6864490
127b613a330
13427020a47
1424672591a
151506a4d1c
hexcbfba454

3422266452 has 144 divisors (see below), whose sum is σ = 10078548480. Its totient is φ = 968889600.

The previous prime is 3422266411. The next prime is 3422266457. The reversal of 3422266452 is 2546622243.

3422266452 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 2 + 6 + 645 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422266457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351198 + ... + 360810.

It is an arithmetic number, because the mean of its divisors is an integer number (69989920).

Almost surely, 23422266452 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 3422266452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039274240).

3422266452 is an abundant number, since it is smaller than the sum of its proper divisors (6656282028).

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

3422266452 is a wasteful number, since it uses less digits than its factorization.

3422266452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9694 (or 9689 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 3422266452 is about 58500.1406152156. The cubic root of 3422266452 is about 1506.9699999033.

Adding to 3422266452 its reverse (2546622243), we get a palindrome (5968888695).

The spelling of 3422266452 in words is "three billion, four hundred twenty-two million, two hundred sixty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 31 33 36 44 58 62 66 87 93 99 116 124 132 174 186 198 261 279 319 341 348 372 396 522 558 638 682 899 957 1023 1044 1116 1276 1364 1798 1914 2046 2697 2871 3069 3596 3828 4092 5394 5742 6138 8091 9613 9889 10788 11484 12276 16182 19226 19778 28839 29667 32364 38452 39556 57678 59334 86517 89001 105743 115356 118668 173034 178002 211486 278777 298003 317229 346068 356004 422972 557554 596006 634458 836331 894009 951687 1115108 1192012 1268916 1672662 1788018 1903374 2508993 2682027 3066547 3278033 3345324 3576036 3806748 5017986 5364054 6133094 6556066 8642087 9199641 9834099 10035972 10728108 12266188 13112132 17284174 18399282 19668198 25926261 27598923 29502297 34568348 36798564 39336396 51852522 55197846 59004594 77778783 95062957 103705044 110395692 118009188 155557566 190125914 285188871 311115132 380251828 570377742 855566613 1140755484 1711133226 3422266452