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749113344 = 2123272903
BaseRepresentation
bin101100101001101…
…001000000000000
31221012120220022200
4230221221000000
53013233111334
6202200033200
724364233630
oct5451510000
91835526280
10749113344
11354944a41
1218aa62800
13bc277045
14716c06c0
1545b74799
hex2ca69000

749113344 has 156 divisors (see below), whose sum is σ = 2473813056. Its totient is φ = 213958656.

The previous prime is 749113331. The next prime is 749113349. The reversal of 749113344 is 443311947.

It is a super-2 number, since 2×7491133442 = 1122341604317724672, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 749113299 and 749113308.

It is not an unprimeable number, because it can be changed into a prime (749113349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256597 + ... + 259499.

It is an arithmetic number, because the mean of its divisors is an integer number (15857776).

Almost surely, 2749113344 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 749113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236906528).

749113344 is an abundant number, since it is smaller than the sum of its proper divisors (1724699712).

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

749113344 is a wasteful number, since it uses less digits than its factorization.

749113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2915 counting only the distinct ones).

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

The square root of 749113344 is about 27369.9350382861. The cubic root of 749113344 is about 908.2021194821.

The spelling of 749113344 in words is "seven hundred forty-nine million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 2903 3072 3584 4032 4096 4608 5376 5806 6144 7168 8064 8709 9216 10752 11612 12288 14336 16128 17418 18432 20321 21504 23224 26127 28672 32256 34836 36864 40642 43008 46448 52254 60963 64512 69672 81284 86016 92896 104508 121926 129024 139344 162568 182889 185792 209016 243852 258048 278688 325136 365778 371584 418032 487704 557376 650272 731556 743168 836064 975408 1114752 1300544 1463112 1486336 1672128 1950816 2229504 2601088 2926224 2972672 3344256 3901632 4459008 5202176 5852448 5945344 6688512 7803264 8918016 10404352 11704896 11890688 13377024 15606528 17836032 20808704 23409792 26754048 31213056 35672064 41617408 46819584 53508096 62426112 83234816 93639168 107016192 124852224 187278336 249704448 374556672 749113344