Search a number
-
+
3324400434 = 233432835059
BaseRepresentation
bin1100011000100110…
…0101001100110010
322120200110001002000
43012021211030302
523302021303214
61305513234430
7145244636355
oct30611451462
98520401060
103324400434
1114565a0283
12789402a16
1340c976664
1423772c29c
15146cc2809
hexc6265332

3324400434 has 64 divisors (see below), whose sum is σ = 7587571200. Its totient is φ = 1078325136.

The previous prime is 3324400423. The next prime is 3324400451. The reversal of 3324400434 is 4340044233.

It is a super-2 number, since 2×33244004342 = 22103276491158776712, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3324400398 and 3324400407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654597 + ... + 659655.

It is an arithmetic number, because the mean of its divisors is an integer number (118555800).

Almost surely, 23324400434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3324400434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793785600).

3324400434 is an abundant number, since it is smaller than the sum of its proper divisors (4263170766).

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

3324400434 is a wasteful number, since it uses less digits than its factorization.

3324400434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5396 (or 5390 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 3324400434 is about 57657.6138424059. The cubic root of 3324400434 is about 1492.4659904879.

Adding to 3324400434 its reverse (4340044233), we get a palindrome (7664444667).

The spelling of 3324400434 in words is "three billion, three hundred twenty-four million, four hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 283 387 566 774 849 1161 1698 2322 2547 5059 5094 7641 10118 12169 15177 15282 24338 30354 36507 45531 73014 91062 109521 136593 217537 219042 273186 328563 435074 652611 657126 1305222 1431697 1957833 2863394 3915666 4295091 5873499 8590182 11746998 12885273 25770546 38655819 61562971 77311638 123125942 184688913 369377826 554066739 1108133478 1662200217 3324400434