Search a number
-
+
343324043100 = 22335222322557
BaseRepresentation
bin1001111111011111011…
…01010010011101011100
31012211011211202110011000
410333233231102131130
521111111423334400
6421415413430300
733542614134033
oct4775755223534
91184154673130
10343324043100
1112266a5210a5
125665663b390
13264b5760c7c
141288cd8771a
158de5de7600
hex4fefb5275c

343324043100 has 216 divisors, whose sum is σ = 1109128438320. Its totient is φ = 91106881920.

The previous prime is 343324043087. The next prime is 343324043159. The reversal of 343324043100 is 1340423343.

343324043100 is a `hidden beast` number, since 343 + 3 + 2 + 4 + 0 + 4 + 310 + 0 = 666.

It is a super-2 number, since 2×3433240431002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134267022 + ... + 134269578.

Almost surely, 2343324043100 is an apocalyptic number.

343324043100 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 343324043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554564219160).

343324043100 is an abundant number, since it is smaller than the sum of its proper divisors (765804395220).

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

343324043100 is a wasteful number, since it uses less digits than its factorization.

343324043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 343324043100 its reverse (1340423343), we get a palindrome (344664466443).

The spelling of 343324043100 in words is "three hundred forty-three billion, three hundred twenty-four million, forty-three thousand, one hundred".