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1077028344 = 233274152121
BaseRepresentation
bin100000000110010…
…0010010111111000
32210001121201010200
41000030202113320
54201204401334
6254512242200
735455406220
oct10014422770
92701551120
101077028344
11502a55377
12260840360
13142199aa2
14a307d080
1564849799
hex403225f8

1077028344 has 96 divisors (see below), whose sum is σ = 3415033440. Its totient is φ = 300211200.

The previous prime is 1077028343. The next prime is 1077028363. The reversal of 1077028344 is 4438207701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1077028299 and 1077028308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077028343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5397 + ... + 46724.

It is an arithmetic number, because the mean of its divisors is an integer number (35573265).

Almost surely, 21077028344 is an apocalyptic number.

1077028344 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 1077028344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707516720).

1077028344 is an abundant number, since it is smaller than the sum of its proper divisors (2338005096).

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

1077028344 is a wasteful number, since it uses less digits than its factorization.

1077028344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52181 (or 52174 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1077028344 is about 32818.1100004251. The cubic root of 1077028344 is about 1025.0436924464.

The spelling of 1077028344 in words is "one billion, seventy-seven million, twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 123 126 164 168 246 252 287 328 369 492 504 574 738 861 984 1148 1476 1722 2296 2583 2952 3444 5166 6888 10332 20664 52121 104242 156363 208484 312726 364847 416968 469089 625452 729694 938178 1094541 1250904 1459388 1876356 2136961 2189082 2918776 3283623 3752712 4273922 4378164 6410883 6567246 8547844 8756328 12821766 13134492 14958727 17095688 19232649 25643532 26268984 29917454 38465298 44876181 51287064 59834908 76930596 89752362 119669816 134628543 153861192 179504724 269257086 359009448 538514172 1077028344