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1134410032 = 24731397823
BaseRepresentation
bin100001110011101…
…1011100100110000
32221001121000000101
41003213123210300
54310402110112
6304322202144
740053216610
oct10347334460
92831530011
101134410032
11532388058
12277ab3354
1315103b052
14aa938a40
15698d1757
hex439db930

1134410032 has 80 divisors (see below), whose sum is σ = 2602627072. Its totient is φ = 468737280.

The previous prime is 1134410009. The next prime is 1134410033. The reversal of 1134410032 is 2300144311.

It is a super-2 number, since 2×11344100322 = 2573772241404482048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1134409991 and 1134410009.

It is not an unprimeable number, because it can be changed into a prime (1134410033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1377973 + ... + 1378795.

Almost surely, 21134410032 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 1134410032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301313536).

1134410032 is an abundant number, since it is smaller than the sum of its proper divisors (1468217040).

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

1134410032 is a wasteful number, since it uses less digits than its factorization.

1134410032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1134410032 is about 33681.0040230395. The cubic root of 1134410032 is about 1042.9336645777.

Adding to 1134410032 its reverse (2300144311), we get a palindrome (3434554343).

The spelling of 1134410032 in words is "one billion, one hundred thirty-four million, four hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 397 434 496 794 823 868 1588 1646 1736 2779 3176 3292 3472 5558 5761 6352 6584 11116 11522 12307 13168 22232 23044 24614 25513 44464 46088 49228 51026 86149 92176 98456 102052 172298 178591 196912 204104 326731 344596 357182 408208 653462 689192 714364 1306924 1378384 1428728 2287117 2613848 2857456 4574234 5227696 9148468 10128661 18296936 20257322 36593872 40514644 70900627 81029288 141801254 162058576 283602508 567205016 1134410032