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1353450112 = 2774335129
BaseRepresentation
bin101000010101100…
…0000001010000000
310111022202101111221
41100223000022000
510232440400422
6342145044424
745353064460
oct12053001200
93438671457
101353450112
11634a95113
12319326714
13187530871
14cba75ba0
157dc4c3c7
hex50ac0280

1353450112 has 64 divisors (see below), whose sum is σ = 3153268800. Its totient is φ = 566544384.

The previous prime is 1353450107. The next prime is 1353450113. The reversal of 1353450112 is 2110543531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1353450113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20964 + ... + 56092.

It is an arithmetic number, because the mean of its divisors is an integer number (49269825).

Almost surely, 21353450112 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 1353450112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576634400).

1353450112 is an abundant number, since it is smaller than the sum of its proper divisors (1799818688).

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

1353450112 is an equidigital number, since it uses as much as digits as its factorization.

1353450112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35193 (or 35181 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1353450112 is about 36789.2662606908. The cubic root of 1353450112 is about 1106.1501539600.

Adding to 1353450112 its reverse (2110543531), we get a palindrome (3463993643).

The spelling of 1353450112 in words is "one billion, three hundred fifty-three million, four hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1204 1376 2408 2752 4816 5504 9632 19264 35129 38528 70258 140516 245903 281032 491806 562064 983612 1124128 1510547 1967224 2248256 3021094 3934448 4496512 6042188 7868896 10573829 12084376 15737792 21147658 24168752 31475584 42295316 48337504 84590632 96675008 169181264 193350016 338362528 676725056 1353450112