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1134045024 = 253724912
BaseRepresentation
bin100001110011000…
…0010011101100000
32221000220110022120
41003212002131200
54310303420044
6304310304240
740050136500
oct10346023540
92830813276
101134045024
115321588a2
12277958080
13150c40b78
14aa881a00
156985d519
hex43982760

1134045024 has 108 divisors (see below), whose sum is σ = 3469954572. Its totient is φ = 323352960.

The previous prime is 1134045023. The next prime is 1134045041. The reversal of 1134045024 is 4205404311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1134044985 and 1134045003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134045023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2309419 + ... + 2309909.

It is an arithmetic number, because the mean of its divisors is an integer number (32129209).

Almost surely, 21134045024 is an apocalyptic number.

1134045024 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 1134045024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734977286).

1134045024 is an abundant number, since it is smaller than the sum of its proper divisors (2335909548).

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

1134045024 is an frugal number, since it uses more digits than its factorization.

1134045024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1134045024 is about 33675.5849837831. The cubic root of 1134045024 is about 1042.8217943965.

Multiplying 1134045024 by its sum of digits (24), we get a square (27217080576 = 1649762).

1134045024 divided by its sum of digits (24) gives a square (47251876 = 68742).

Adding to 1134045024 its reverse (4205404311), we get a palindrome (5339449335).

The spelling of 1134045024 in words is "one billion, one hundred thirty-four million, forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 491 588 672 784 982 1176 1473 1568 1964 2352 2946 3437 3928 4704 5892 6874 7856 10311 11784 13748 15712 20622 23568 24059 27496 41244 47136 48118 54992 72177 82488 96236 109984 144354 164976 192472 241081 288708 329952 384944 482162 577416 723243 769888 964324 1154832 1446486 1687567 1928648 2309664 2892972 3375134 3857296 5062701 5785944 6750268 7714592 10125402 11571888 11812969 13500536 20250804 23143776 23625938 27001072 35438907 40501608 47251876 54002144 70877814 81003216 94503752 141755628 162006432 189007504 283511256 378015008 567022512 1134045024