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1352440704 = 27315722433
BaseRepresentation
bin101000010011100…
…1001101110000000
310111020212002212110
41100213021232000
510232211100304
6342111255320
745341361546
oct12047115600
93436762773
101352440704
1163446579a
12318b1a540
13187269294
14cb891d96
157daed289
hex509c9b80

1352440704 has 64 divisors (see below), whose sum is σ = 3615463440. Its totient is φ = 447922176.

The previous prime is 1352440703. The next prime is 1352440721. The reversal of 1352440704 is 4070442531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352440703) 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, 49072 + ... + 71504.

Almost surely, 21352440704 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 1352440704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807731720).

1352440704 is an abundant number, since it is smaller than the sum of its proper divisors (2263022736).

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

1352440704 is a wasteful number, since it uses less digits than its factorization.

1352440704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22607 (or 22595 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 1352440704 is about 36775.5449177847. The cubic root of 1352440704 is about 1105.8750953038.

The spelling of 1352440704 in words is "one billion, three hundred fifty-two million, four hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 471 628 942 1256 1884 2512 3768 5024 7536 10048 15072 20096 22433 30144 44866 60288 67299 89732 134598 179464 269196 358928 538392 717856 1076784 1435712 2153568 2871424 3521981 4307136 7043962 8614272 10565943 14087924 21131886 28175848 42263772 56351696 84527544 112703392 169055088 225406784 338110176 450813568 676220352 1352440704