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3114377552 = 24111319312311
BaseRepresentation
bin1011100110100001…
…1010000101010000
322001001020202211202
42321220122011100
522334240040202
61233011530332
7140114525636
oct27150320520
98031222752
103114377552
111358a91a50
1272abb99a8
133a82c0270
1421789b356
15133638802
hexb9a1a150

3114377552 has 160 divisors (see below), whose sum is σ = 7706173440. Its totient is φ = 1197504000.

The previous prime is 3114377551. The next prime is 3114377561. The reversal of 3114377552 is 2557734113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114377551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1346477 + ... + 1348787.

It is an arithmetic number, because the mean of its divisors is an integer number (48163584).

Almost surely, 23114377552 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 3114377552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853086720).

3114377552 is an abundant number, since it is smaller than the sum of its proper divisors (4591795888).

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

3114377552 is a wasteful number, since it uses less digits than its factorization.

3114377552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2387 counting only the distinct ones).

The product of its digits is 88200, while the sum is 38.

The square root of 3114377552 is about 55806.6084975606. The cubic root of 3114377552 is about 1460.3504431800.

The spelling of 3114377552 in words is "three billion, one hundred fourteen million, three hundred seventy-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 19 22 26 31 38 44 52 62 76 88 104 124 143 152 176 208 209 247 248 286 304 341 403 418 494 496 572 589 682 806 836 988 1144 1178 1364 1612 1672 1976 2288 2311 2356 2717 2728 3224 3344 3952 4433 4622 4712 5434 5456 6448 6479 7657 8866 9244 9424 10868 12958 15314 17732 18488 21736 25421 25916 30043 30628 35464 36976 43472 43909 50842 51832 60086 61256 70928 71641 84227 87818 101684 103664 120172 122512 143282 168454 175636 203368 240344 286564 330473 336908 351272 406736 480688 482999 570817 573128 660946 673816 702544 788051 931333 965998 1141634 1146256 1321892 1347632 1361179 1576102 1862666 1931996 2283268 2643784 2722358 3152204 3725332 3863992 4566536 5287568 5444716 6278987 6304408 7450664 7727984 9133072 10244663 10889432 12557974 12608816 14901328 14972969 17695327 20489326 21778864 25115948 29945938 35390654 40978652 50231896 59891876 70781308 81957304 100463792 119783752 141562616 163914608 194648597 239567504 283125232 389297194 778594388 1557188776 3114377552