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2381400 = 23355272
BaseRepresentation
bin1001000101011001011000
311110222200000
421011121120
51102201100
6123013000
726145600
oct11053130
94428600
102381400
1113871aa
1296a160
13654c18
1445dc00
15320900
hex245658

2381400 has 216 divisors, whose sum is σ = 9647820. Its totient is φ = 544320.

The previous prime is 2381387. The next prime is 2381413. The reversal of 2381400 is 41832.

2381400 = 1962 + 1972 + ... + 2442.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2381387) and next prime (2381413).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 340197 + ... + 340203.

22381400 is an apocalyptic number.

2381400 is a gapful number since it is divisible by the number (20) 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 2381400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823910).

2381400 is an abundant number, since it is smaller than the sum of its proper divisors (7266420).

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

2381400 is a wasteful number, since it uses less digits than its factorization.

2381400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2381400 is about 1543.1785379534. The cubic root of 2381400 is about 133.5398189515.

The spelling of 2381400 in words is "two million, three hundred eighty-one thousand, four hundred".