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3086429148 = 22321137313673
BaseRepresentation
bin1011011111110111…
…0010101111011100
321222002122211211200
42313331302233130
522310111213043
61230132515500
7136325133465
oct26775625734
97862584750
103086429148
1113442329a0
1272177bb90
133a258604a
14213ca3d6c
15130e677d3
hexb7f72bdc

3086429148 has 144 divisors (see below), whose sum is σ = 8782047456. Its totient is φ = 905748480.

The previous prime is 3086429107. The next prime is 3086429153. The reversal of 3086429148 is 8419246803.

It is a happy number.

3086429148 is a `hidden beast` number, since 3 + 0 + 86 + 429 + 148 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4585740 + ... + 4586412.

Almost surely, 23086429148 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 3086429148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391023728).

3086429148 is an abundant number, since it is smaller than the sum of its proper divisors (5695618308).

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

3086429148 is a wasteful number, since it uses less digits than its factorization.

3086429148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 3086429148 is about 55555.6401097134. The cubic root of 3086429148 is about 1455.9689185240.

It can be divided in two parts, 3086 and 429148, that added together give a palindrome (432234).

The spelling of 3086429148 in words is "three billion, eighty-six million, four hundred twenty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 313 333 396 407 444 626 666 673 814 939 1221 1252 1332 1346 1628 1878 2019 2442 2692 2817 3443 3663 3756 4038 4884 5634 6057 6886 7326 7403 8076 10329 11268 11581 12114 13772 14652 14806 20658 22209 23162 24228 24901 29612 30987 34743 41316 44418 46324 49802 61974 66627 69486 74703 88836 99604 104229 123948 127391 133254 138972 149406 208458 210649 224109 254782 266508 273911 298812 382173 416916 421298 448218 509564 547822 631947 764346 821733 842596 896436 1095644 1146519 1263894 1528692 1643466 1895841 2293038 2317139 2465199 2527788 3286932 3791682 4586076 4634278 4930398 6951417 7583364 7794013 9268556 9860796 13902834 15588026 20854251 23382039 27805668 31176052 41708502 46764078 70146117 83417004 85734143 93528156 140292234 171468286 257202429 280584468 342936572 514404858 771607287 1028809716 1543214574 3086429148