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1674097152 = 29372132959
BaseRepresentation
bin110001111001000…
…1011001000000000
311022200002221120020
41203302023020000
511412032102102
6434041413440
756325406500
oct14362131000
94280087506
101674097152
11789a90a72
123a879a280
13208aaa440
1411c4a1a00
159be88bbc
hex63c8b200

1674097152 has 480 divisors, whose sum is σ = 5877748800. Its totient is φ = 419069952.

The previous prime is 1674097141. The next prime is 1674097157. The reversal of 1674097152 is 2517904761.

It is a happy number.

It is a super-2 number, since 2×16740971522 = 5605202548669022208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1674097157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28374499 + ... + 28374557.

It is an arithmetic number, because the mean of its divisors is an integer number (12245310).

Almost surely, 21674097152 is an apocalyptic number.

1674097152 is a gapful number since it is divisible by the number (12) 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 1674097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938874400).

1674097152 is an abundant number, since it is smaller than the sum of its proper divisors (4203651648).

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

1674097152 is a wasteful number, since it uses less digits than its factorization.

1674097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 1674097152 is about 40915.7323287754. The cubic root of 1674097152 is about 1187.3904524171.

The spelling of 1674097152 in words is "one billion, six hundred seventy-four million, ninety-seven thousand, one hundred fifty-two".