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3073471040 = 265292271459
BaseRepresentation
bin1011011100110001…
…0111001001000000
321221012021111122202
42313030113021000
522243302033130
61224551052332
7136110033653
oct26714271100
97835244582
103073471040
111337992312
127193710a8
1339c999c23
1421228d89a
1512ec58145
hexb7317240

3073471040 has 112 divisors (see below), whose sum is σ = 7609636800. Its totient is φ = 1180956672.

The previous prime is 3073471013. The next prime is 3073471061. The reversal of 3073471040 is 401743703.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 3073470994 and 3073471012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2105831 + ... + 2107289.

Almost surely, 23073471040 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 3073471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804818400).

3073471040 is an abundant number, since it is smaller than the sum of its proper divisors (4536165760).

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

3073471040 is a wasteful number, since it uses less digits than its factorization.

3073471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 3073471040 is about 55438.8946498756. The cubic root of 3073471040 is about 1453.9284734430.

The spelling of 3073471040 in words is "three billion, seventy-three million, four hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 227 232 290 320 454 464 580 908 928 1135 1160 1459 1816 1856 2270 2320 2918 3632 4540 4640 5836 6583 7264 7295 9080 9280 11672 13166 14528 14590 18160 23344 26332 29180 32915 36320 42311 46688 52664 58360 65830 72640 84622 93376 105328 116720 131660 169244 210656 211555 233440 263320 331193 338488 421312 423110 466880 526640 662386 676976 846220 1053280 1324772 1353952 1655965 1692440 2106560 2649544 2707904 3311930 3384880 5299088 6623860 6769760 9604597 10598176 13247720 13539520 19209194 21196352 26495440 38418388 48022985 52990880 76836776 96045970 105981760 153673552 192091940 307347104 384183880 614694208 768367760 1536735520 3073471040