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1073400888 = 2337107211283
BaseRepresentation
bin111111111110101…
…100110000111000
32202210210102012110
4333332230300320
54144242312023
6254302412320
735412520440
oct7776546070
92683712173
101073400888
115009a7a7a
1225b5910a0
131414c9971
14a27b7120
156437ea93
hex3ffacc38

1073400888 has 128 divisors (see below), whose sum is σ = 3121182720. Its totient is φ = 301311360.

The previous prime is 1073400883. The next prime is 1073400929. The reversal of 1073400888 is 8880043701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073400883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3792795 + ... + 3793077.

It is an arithmetic number, because the mean of its divisors is an integer number (24384240).

Almost surely, 21073400888 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 1073400888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560591360).

1073400888 is an abundant number, since it is smaller than the sum of its proper divisors (2047781832).

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

1073400888 is a wasteful number, since it uses less digits than its factorization.

1073400888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 1073400888 is about 32762.7973164686. The cubic root of 1073400888 is about 1023.8916078913.

The spelling of 1073400888 in words is "one billion, seventy-three million, four hundred thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 211 214 283 321 422 428 566 633 642 749 844 849 856 1132 1266 1284 1477 1498 1688 1698 1981 2247 2264 2532 2568 2954 2996 3396 3962 4431 4494 5064 5908 5943 5992 6792 7924 8862 8988 11816 11886 15848 17724 17976 22577 23772 30281 35448 45154 47544 59713 60562 67731 90308 90843 119426 121124 135462 158039 179139 180616 181686 211967 238852 242248 270924 316078 358278 363372 417991 423934 474117 477704 541848 632156 635901 716556 726744 835982 847868 948234 1253973 1264312 1271802 1433112 1671964 1695736 1896468 2507946 2543604 3343928 3792936 5015892 5087208 6389291 10031784 12778582 19167873 25557164 38335746 44725037 51114328 76671492 89450074 134175111 153342984 178900148 268350222 357800296 536700444 1073400888