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1231680384 = 273311179181
BaseRepresentation
bin100100101101001…
…1111001110000000
310011211121211212000
41021122133032000
510010302233014
6322115104000
742344052624
oct11132371600
93154554760
101231680384
11582284780
122a45a2000
1316823727c
14b9819184
15731e7509
hex4969f380

1231680384 has 256 divisors, whose sum is σ = 4009824000. Its totient is φ = 369100800.

The previous prime is 1231680371. The next prime is 1231680397. The reversal of 1231680384 is 4830861321.

It is an interprime number because it is at equal distance from previous prime (1231680371) and next prime (1231680397).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6804774 + ... + 6804954.

It is an arithmetic number, because the mean of its divisors is an integer number (15663375).

Almost surely, 21231680384 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 1231680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004912000).

1231680384 is an abundant number, since it is smaller than the sum of its proper divisors (2778143616).

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

1231680384 is a wasteful number, since it uses less digits than its factorization.

1231680384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1231680384 is about 35095.3043012879. The cubic root of 1231680384 is about 1071.9289698240.

The spelling of 1231680384 in words is "one billion, two hundred thirty-one million, six hundred eighty thousand, three hundred eighty-four".