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3414244344 = 233728932621
BaseRepresentation
bin1100101110000001…
…0011101111111000
322210221111120202020
43023200103233320
523443021304334
61322443034440
7150415412100
oct31340235770
98727446666
103414244344
1114a2285345
127b350ba20
13425472534
14245638200
1514eb1ce49
hexcb813bf8

3414244344 has 96 divisors (see below), whose sum is σ = 10041051600. Its totient is φ = 964508160.

The previous prime is 3414244331. The next prime is 3414244363. The reversal of 3414244344 is 4434424143.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 88354 + ... + 120974.

Almost surely, 23414244344 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 3414244344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020525800).

3414244344 is an abundant number, since it is smaller than the sum of its proper divisors (6626807256).

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

3414244344 is a wasteful number, since it uses less digits than its factorization.

3414244344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32733 (or 32722 counting only the distinct ones).

The product of its digits is 73728, while the sum is 33.

The square root of 3414244344 is about 58431.5355266315. The cubic root of 3414244344 is about 1505.7915864599.

Adding to 3414244344 its reverse (4434424143), we get a palindrome (7848668487).

The spelling of 3414244344 in words is "three billion, four hundred fourteen million, two hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 89 98 147 168 178 196 267 294 356 392 534 588 623 712 1068 1176 1246 1869 2136 2492 3738 4361 4984 7476 8722 13083 14952 17444 26166 32621 34888 52332 65242 97863 104664 130484 195726 228347 260968 391452 456694 685041 782904 913388 1370082 1598429 1826776 2740164 2903269 3196858 4795287 5480328 5806538 6393716 8709807 9590574 11613076 12787432 17419614 19181148 20322883 23226152 34839228 38362296 40645766 60968649 69678456 81291532 121937298 142260181 162583064 243874596 284520362 426780543 487749192 569040724 853561086 1138081448 1707122172 3414244344