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1109725344 = 2532721323263
BaseRepresentation
bin100001000100101…
…0001000010100000
32212100010212222200
41002021101002200
54233042202334
6302041133200
736333336600
oct10211210240
92770125880
101109725344
1151a458092
1226b78a200
13148ba7520
14a7550c00
1567657799
hex422510a0

1109725344 has 432 divisors, whose sum is σ = 4140968832. Its totient is φ = 278885376.

The previous prime is 1109725333. The next prime is 1109725361. The reversal of 1109725344 is 4435279011.

1109725344 is a `hidden beast` number, since 110 + 9 + 7 + 2 + 534 + 4 = 666.

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 = 1109725299 and 1109725308.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4219357 + ... + 4219619.

It is an arithmetic number, because the mean of its divisors is an integer number (9585576).

Almost surely, 21109725344 is an apocalyptic number.

1109725344 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 1109725344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070484416).

1109725344 is an abundant number, since it is smaller than the sum of its proper divisors (3031243488).

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

1109725344 is a wasteful number, since it uses less digits than its factorization.

1109725344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1109725344 is about 33312.5403414390. The cubic root of 1109725344 is about 1035.3133994566.

The spelling of 1109725344 in words is "one billion, one hundred nine million, seven hundred twenty-five thousand, three hundred forty-four".