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1890617344 = 21171119631
BaseRepresentation
bin111000010110000…
…1000100000000000
311212202112022102121
41300230020200000
512332444223334
6511334254024
764564660630
oct16054104000
94782468377
101890617344
11890227880
124491b7314
132418c9cb5
1413d1446c0
15b0ea7db4
hex70b08800

1890617344 has 192 divisors, whose sum is σ = 4969036800. Its totient is φ = 696729600.

The previous prime is 1890617327. The next prime is 1890617353. The reversal of 1890617344 is 4437160981.

It is a super-2 number, since 2×18906173442 = 7148867882867228672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1890617344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2995909 + ... + 2996539.

It is an arithmetic number, because the mean of its divisors is an integer number (25880400).

Almost surely, 21890617344 is an apocalyptic number.

1890617344 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 1890617344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484518400).

1890617344 is an abundant number, since it is smaller than the sum of its proper divisors (3078419456).

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

1890617344 is a wasteful number, since it uses less digits than its factorization.

1890617344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 1890617344 is about 43481.2297894160. The cubic root of 1890617344 is about 1236.5201917302.

The spelling of 1890617344 in words is "one billion, eight hundred ninety million, six hundred seventeen thousand, three hundred forty-four".