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1070777344 = 21071311491
BaseRepresentation
bin111111110100101…
…100010000000000
32202121212010101011
4333310230100000
54143104333334
6254130250304
735351312560
oct7764542000
92677763334
101070777344
114aa47595a
1225a726994
13140abb780
14a22d2da0
1564012564
hex3fd2c400

1070777344 has 88 divisors (see below), whose sum is σ = 2634701888. Its totient is φ = 423567360.

The previous prime is 1070777329. The next prime is 1070777369. The reversal of 1070777344 is 4437770701.

It is a super-2 number, since 2×10707773442 = 2293128240847388672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1070777297 and 1070777306.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 87439 + ... + 98929.

Almost surely, 21070777344 is an apocalyptic number.

1070777344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317350944).

1070777344 is an abundant number, since it is smaller than the sum of its proper divisors (1563924544).

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

1070777344 is a wasteful number, since it uses less digits than its factorization.

1070777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11531 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 40.

The square root of 1070777344 is about 32722.7343600745. The cubic root of 1070777344 is about 1023.0567485839.

The spelling of 1070777344 in words is "one billion, seventy million, seven hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2912 3328 3584 5824 6656 7168 11491 11648 13312 22982 23296 45964 46592 80437 91928 93184 149383 160874 183856 298766 321748 367712 597532 643496 735424 1045681 1195064 1286992 1470848 2091362 2390128 2573984 2941696 4182724 4780256 5147968 5883392 8365448 9560512 10295936 11766784 16730896 19121024 20591872 33461792 38242048 41183744 66923584 76484096 82367488 133847168 152968192 267694336 535388672 1070777344