Search a number
-
+
3564414012 = 2232947383569
BaseRepresentation
bin1101010001110100…
…1010010000111100
3100012102001222210210
43110131022100330
524244442222022
61345405432420
7154221006405
oct32435122074
910172058723
103564414012
11156a023005
1283586b710
1344a600723
1425b5689ac
1515cdd2a0c
hexd474a43c

3564414012 has 96 divisors (see below), whose sum is σ = 8825241600. Its totient is φ = 1117860352.

The previous prime is 3564413947. The next prime is 3564414017. The reversal of 3564414012 is 2104144653.

It is a super-2 number, since 2×35644140122 = 25410094497883872288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3564414017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6264064 + ... + 6264632.

It is an arithmetic number, because the mean of its divisors is an integer number (91929600).

Almost surely, 23564414012 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 3564414012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412620800).

3564414012 is an abundant number, since it is smaller than the sum of its proper divisors (5260827588).

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

3564414012 is a wasteful number, since it uses less digits than its factorization.

3564414012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3564414012 is about 59702.7136066695. The cubic root of 3564414012 is about 1527.5521556744.

Adding to 3564414012 its reverse (2104144653), we get a palindrome (5668558665).

The spelling of 3564414012 in words is "three billion, five hundred sixty-four million, four hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 282 348 383 564 569 766 1138 1149 1363 1532 1707 2276 2298 2726 3414 4089 4596 5452 6828 8178 11107 16356 16501 18001 22214 26743 33002 33321 36002 44428 49503 53486 54003 66004 66642 72004 80229 99006 106972 108006 133284 160458 198012 216012 217927 320916 435854 522029 653781 775547 871708 1044058 1307562 1551094 1566087 2088116 2326641 2615124 3102188 3132174 4653282 6264348 6319883 9306564 10242569 12639766 18959649 20485138 25279532 30727707 37919298 40970276 61455414 75838596 122910828 297034501 594069002 891103503 1188138004 1782207006 3564414012