Search a number
-
+
3542253000 = 23353111323359
BaseRepresentation
bin1101001100100010…
…0111110111001000
3100010212101002121120
43103020213313020
524223304044000
61343254435240
7153531440136
oct32310476710
910125332546
103542253000
111558567120
1282a362b20
13445b417c0
1425863a756
1515aea66a0
hexd3227dc8

3542253000 has 512 divisors, whose sum is σ = 13586227200. Its totient is φ = 756096000.

The previous prime is 3542252993. The next prime is 3542253031. The reversal of 3542253000 is 3522453.

3542253000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×35422530003 (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9866821 + ... + 9867179.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 23542253000 is an apocalyptic number.

3542253000 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 3542253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793113600).

3542253000 is an abundant number, since it is smaller than the sum of its proper divisors (10043974200).

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

3542253000 is a wasteful number, since it uses less digits than its factorization.

3542253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 3542253000 is about 59516.8295526568. The cubic root of 3542253000 is about 1524.3798248664.

Adding to 3542253000 its reverse (3522453), we get a palindrome (3545775453).

The spelling of 3542253000 in words is "three billion, five hundred forty-two million, two hundred fifty-three thousand".