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3541421400 = 23352111931911
BaseRepresentation
bin1101001100010101…
…1100110101011000
3100010210210211212120
43103011130311120
524223100441100
61343224541240
7153521404506
oct32305346530
910123724776
103541421400
111558049350
1282a021820
1344591012a
142584a1676
1515ad900a0
hexd315cd58

3541421400 has 384 divisors, whose sum is σ = 13027737600. Its totient is φ = 786240000.

The previous prime is 3541421399. The next prime is 3541421413. The reversal of 3541421400 is 41241453.

3541421400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3886945 + ... + 3887855.

It is an arithmetic number, because the mean of its divisors is an integer number (33926400).

Almost surely, 23541421400 is an apocalyptic number.

3541421400 is a gapful number since it is divisible by the number (30) 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 3541421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513868800).

3541421400 is an abundant number, since it is smaller than the sum of its proper divisors (9486316200).

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

3541421400 is a wasteful number, since it uses less digits than its factorization.

3541421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3541421400 is about 59509.8428833416. The cubic root of 3541421400 is about 1524.2605247602.

Adding to 3541421400 its reverse (41241453), we get a palindrome (3582662853).

The spelling of 3541421400 in words is "three billion, five hundred forty-one million, four hundred twenty-one thousand, four hundred".