Search a number
-
+
330414041400 = 23352550690069
BaseRepresentation
bin1001100111011100011…
…01100010100100111000
31011120212010022102010220
410303232031202210320
520403141443311100
6411442355340040
732604653004102
oct4635615424470
91146763272126
10330414041400
11118145126803
1254052bb1620
1325208c10501
1411dc6568572
1588dc821aa0
hex4cee362938

330414041400 has 48 divisors (see below), whose sum is σ = 1024283530200. Its totient is φ = 88110410880.

The previous prime is 330414041387. The next prime is 330414041413. The reversal of 330414041400 is 4140414033.

It is an interprime number because it is at equal distance from previous prime (330414041387) and next prime (330414041413).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275344435 + ... + 275345634.

Almost surely, 2330414041400 is an apocalyptic number.

330414041400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330414041400 is an abundant number, since it is smaller than the sum of its proper divisors (693869488800).

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

330414041400 is a wasteful number, since it uses less digits than its factorization.

330414041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550690088 (or 550690079 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 330414041400 its reverse (4140414033), we get a palindrome (334554455433).

It can be divided in two parts, 3 and 30414041400, that added together give a palindrome (30414041403).

The spelling of 330414041400 in words is "three hundred thirty billion, four hundred fourteen million, forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 550690069 1101380138 1652070207 2202760276 2753450345 3304140414 4405520552 5506900690 6608280828 8260351035 11013801380 13216561656 13767251725 16520702070 22027602760 27534503450 33041404140 41301755175 55069006900 66082808280 82603510350 110138013800 165207020700 330414041400