Search a number
-
+
3413244400 = 245259144629
BaseRepresentation
bin1100101101110001…
…1111100111110000
322210212121210002021
43023130133213300
523442242310100
61322405401224
7150404045566
oct31334374760
98725553067
103413244400
1114a1762045
127b3109214
134251b2357
14245457a36
1514e9c1a1a
hexcb71f9f0

3413244400 has 60 divisors (see below), whose sum is σ = 8339365800. Its totient is φ = 1342147840.

The previous prime is 3413244397. The next prime is 3413244437. The reversal of 3413244400 is 44423143.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 48715 + ... + 95914.

It is an arithmetic number, because the mean of its divisors is an integer number (138989430).

Almost surely, 23413244400 is an apocalyptic number.

It is an amenable number.

3413244400 is an abundant number, since it is smaller than the sum of its proper divisors (4926121400).

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

3413244400 is a wasteful number, since it uses less digits than its factorization.

3413244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144706 (or 144695 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3413244400 is about 58422.9783561229. The cubic root of 3413244400 is about 1505.6445696163.

Adding to 3413244400 its reverse (44423143), we get a palindrome (3457667543).

The spelling of 3413244400 in words is "three billion, four hundred thirteen million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 200 236 295 400 472 590 944 1180 1475 2360 2950 4720 5900 11800 23600 144629 289258 578516 723145 1157032 1446290 2314064 2892580 3615725 5785160 7231450 8533111 11570320 14462900 17066222 28925800 34132444 42665555 57851600 68264888 85331110 136529776 170662220 213327775 341324440 426655550 682648880 853311100 1706622200 3413244400