Search a number
-
+
3407771472 = 243731476961
BaseRepresentation
bin1100101100011110…
…0111011101010000
322210111022201122020
43023013213131100
523434342141342
61322052211440
7150306402540
oct31307473520
98714281566
103407771472
111499664166
127b1309b80
13424017231
14244831320
1514e2900ec
hexcb1e7750

3407771472 has 160 divisors (see below), whose sum is σ = 10608082944. Its totient is φ = 922060800.

The previous prime is 3407771459. The next prime is 3407771551. The reversal of 3407771472 is 2741777043.

It is a super-2 number, since 2×34077714722 = 23225812810754093568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 486072 + ... + 493032.

Almost surely, 23407771472 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 3407771472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304041472).

3407771472 is an abundant number, since it is smaller than the sum of its proper divisors (7200311472).

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

3407771472 is a wasteful number, since it uses less digits than its factorization.

3407771472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057 (or 7051 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The square root of 3407771472 is about 58376.1207344236. The cubic root of 3407771472 is about 1504.8394028846.

The spelling of 3407771472 in words is "three billion, four hundred seven million, seven hundred seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 47 48 56 62 84 93 94 112 124 141 168 186 188 217 248 282 329 336 372 376 434 496 564 651 658 744 752 868 987 1128 1302 1316 1457 1488 1736 1974 2256 2604 2632 2914 3472 3948 4371 5208 5264 5828 6961 7896 8742 10199 10416 11656 13922 15792 17484 20398 20883 23312 27844 30597 34968 40796 41766 48727 55688 61194 69936 81592 83532 97454 111376 122388 146181 163184 167064 194908 215791 244776 292362 327167 334128 389816 431582 489552 584724 647373 654334 779632 863164 981501 1169448 1294746 1308668 1510537 1726328 1963002 2290169 2338896 2589492 2617336 3021074 3452656 3926004 4531611 4580338 5178984 5234672 6042148 6870507 7852008 9063222 9160676 10142177 10357968 12084296 13741014 15704016 18126444 18321352 20284354 24168592 27482028 30426531 36252888 36642704 40568708 54964056 60853062 70995239 72505776 81137416 109928112 121706124 141990478 162274832 212985717 243412248 283980956 425971434 486824496 567961912 851942868 1135923824 1703885736 3407771472