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1345025024 = 2107316053
BaseRepresentation
bin101000000101011…
…0111010000000000
310110201220100110122
41100022313100000
510223311300044
6341244315412
745221344520
oct12012672000
93421810418
101345025024
11630260232
12316542b68
13185870ac5
14ca8c1680
157d135dee
hex502b7400

1345025024 has 88 divisors (see below), whose sum is σ = 3172489728. Its totient is φ = 557752320.

The previous prime is 1345024987. The next prime is 1345025041. The reversal of 1345025024 is 4205205431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1345024984 and 1345025002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219182 + ... + 225234.

Almost surely, 21345025024 is an apocalyptic number.

1345025024 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 1345025024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586244864).

1345025024 is an abundant number, since it is smaller than the sum of its proper divisors (1827464704).

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

1345025024 is an equidigital number, since it uses as much as digits as its factorization.

1345025024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6111 (or 6093 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 1345025024 is about 36674.5828060797. The cubic root of 1345025024 is about 1103.8501511941.

The spelling of 1345025024 in words is "one billion, three hundred forty-five million, twenty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1736 1792 1984 3472 3584 3968 6053 6944 7168 7936 12106 13888 15872 24212 27776 31744 42371 48424 55552 84742 96848 111104 169484 187643 193696 222208 338968 375286 387392 677936 750572 774784 1313501 1355872 1501144 1549568 2627002 2711744 3002288 3099136 5254004 5423488 6004576 6198272 10508008 10846976 12009152 21016016 21693952 24018304 42032032 43387904 48036608 84064064 96073216 168128128 192146432 336256256 672512512 1345025024