Search a number
-
+
3411043800 = 2335229434797
BaseRepresentation
bin1100101101010000…
…0110010111011000
322210201110222102120
43023110012113120
523441211400200
61322250301240
7150346252053
oct31324062730
98721428376
103411043800
1114a049976a
127b2427820
134248c1818
14245043a9a
1514e6d99a0
hexcb5065d8

3411043800 has 384 divisors, whose sum is σ = 11549260800. Its totient is φ = 830914560.

The previous prime is 3411043793. The next prime is 3411043807. The reversal of 3411043800 is 83401143.

It is an interprime number because it is at equal distance from previous prime (3411043793) and next prime (3411043807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411043807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35165352 + ... + 35165448.

It is an arithmetic number, because the mean of its divisors is an integer number (30076200).

Almost surely, 23411043800 is an apocalyptic number.

3411043800 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 3411043800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774630400).

3411043800 is an abundant number, since it is smaller than the sum of its proper divisors (8138217000).

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

3411043800 is a wasteful number, since it uses less digits than its factorization.

3411043800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3411043800 is about 58404.1419764044. The cubic root of 3411043800 is about 1505.3209250750.

Adding to 3411043800 its reverse (83401143), we get a palindrome (3494444943).

The spelling of 3411043800 in words is "three billion, four hundred eleven million, forty-three thousand, eight hundred".