Search a number
-
+
1074302768 = 2471123311223
BaseRepresentation
bin100000000001000…
…1000111100110000
32202212111020100102
41000002020330300
54200010142033
6254334011532
735423265020
oct10002107460
92685436312
101074302768
11501463630
1225b946ba8
13141754316
14a296da80
15644abde8
hex40088f30

1074302768 has 160 divisors (see below), whose sum is σ = 2797535232. Its totient is φ = 387129600.

The previous prime is 1074302759. The next prime is 1074302773. The reversal of 1074302768 is 8672034701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877805 + ... + 879027.

Almost surely, 21074302768 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 1074302768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398767616).

1074302768 is an abundant number, since it is smaller than the sum of its proper divisors (1723232464).

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

1074302768 is a wasteful number, since it uses less digits than its factorization.

1074302768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 1074302768 is about 32776.5582085734. The cubic root of 1074302768 is about 1024.1782882517.

The spelling of 1074302768 in words is "one billion, seventy-four million, three hundred two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 31 44 46 56 62 77 88 92 112 124 154 161 176 184 217 248 253 308 322 341 368 434 496 506 616 644 682 713 868 1012 1223 1232 1288 1364 1426 1736 1771 2024 2387 2446 2576 2728 2852 3472 3542 4048 4774 4892 4991 5456 5704 7084 7843 8561 9548 9784 9982 11408 13453 14168 15686 17122 19096 19568 19964 26906 28129 28336 31372 34244 37913 38192 39928 53812 54901 56258 62744 68488 75826 79856 94171 107624 109802 112516 125488 136976 151652 188342 196903 215248 219604 225032 265391 303304 309419 376684 393806 417043 439208 450064 530782 606608 618838 753368 787612 834086 871999 878416 1061564 1237676 1506736 1575224 1668172 1743998 2123128 2165933 2475352 2919301 3150448 3336344 3487996 4246256 4331866 4950704 5838602 6103993 6672688 6975992 8663732 9591989 11677204 12207986 13951984 17327464 19183978 23354408 24415972 34654928 38367956 46708816 48831944 67143923 76735912 97663888 134287846 153471824 268575692 537151384 1074302768