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BaseRepresentation
bin101000001111000…
…1000100011010000
310111002101222221221
41100132020203100
510231104422444
6341544454424
745312314311
oct12036104320
93432358857
101350076624
116330a0606
1231817a414
1318691c210
14cb438608
157d7d2a84
hex507888d0

1350076624 has 80 divisors (see below), whose sum is σ = 2999808000. Its totient is φ = 583096320.

The previous prime is 1350076619. The next prime is 1350076631. The reversal of 1350076624 is 4266700531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 1350076624.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 674377 + ... + 676375.

It is an arithmetic number, because the mean of its divisors is an integer number (37497600).

Almost surely, 21350076624 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 1350076624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904000).

1350076624 is an abundant number, since it is smaller than the sum of its proper divisors (1649731376).

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

1350076624 is a wasteful number, since it uses less digits than its factorization.

1350076624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 1350076624 is about 36743.3888475192. The cubic root of 1350076624 is about 1105.2303592135.

The spelling of 1350076624 in words is "one billion, three hundred fifty million, seventy-six thousand, six hundred twenty-four".