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1116673344 = 26331314933
BaseRepresentation
bin100001010001111…
…0001010101000000
32212211012212212000
41002203301111000
54241332021334
6302450104000
736446365263
oct10243612500
92784185760
101116673344
11523373236
12271b7b000
1314a46ab77
14a843ccda
156807b299
hex428f1540

1116673344 has 112 divisors (see below), whose sum is σ = 3308543040. Its totient is φ = 369308160.

The previous prime is 1116673343. The next prime is 1116673403. The reversal of 1116673344 is 4433766111.

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 = 1116673299 and 1116673308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116673343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223902 + ... + 228834.

Almost surely, 21116673344 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 1116673344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654271520).

1116673344 is an abundant number, since it is smaller than the sum of its proper divisors (2191869696).

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

1116673344 is a wasteful number, since it uses less digits than its factorization.

1116673344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5069 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 1116673344 is about 33416.6626699914. The cubic root of 1116673344 is about 1037.4696077418.

The spelling of 1116673344 in words is "one billion, one hundred sixteen million, six hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 131 144 192 216 262 288 393 432 524 576 786 864 1048 1179 1572 1728 2096 2358 3144 3537 4192 4716 4933 6288 7074 8384 9432 9866 12576 14148 14799 18864 19732 25152 28296 29598 37728 39464 44397 56592 59196 75456 78928 88794 113184 118392 133191 157856 177588 226368 236784 266382 315712 355176 473568 532764 646223 710352 947136 1065528 1292446 1420704 1938669 2131056 2584892 2841408 3877338 4262112 5169784 5816007 7754676 8524224 10339568 11632014 15509352 17448021 20679136 23264028 31018704 34896042 41358272 46528056 62037408 69792084 93056112 124074816 139584168 186112224 279168336 372224448 558336672 1116673344