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3423200004 = 2232734938923
BaseRepresentation
bin1100110000001001…
…1110001100000100
322211120100120121100
43030002132030010
524002314400004
61323403020100
7150554501640
oct31402361404
98746316540
103423200004
1114a7341914
127b650a630
13427289943
142468c9c20
151507db739
hexcc09e304

3423200004 has 72 divisors (see below), whose sum is σ = 9917835200. Its totient is φ = 975229632.

The previous prime is 3423199993. The next prime is 3423200047. The reversal of 3423200004 is 4000023243.

3423200004 is a `hidden beast` number, since 342 + 320 + 0 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 3423200004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68487 + ... + 107409.

Almost surely, 23423200004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423200004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958917600).

3423200004 is an abundant number, since it is smaller than the sum of its proper divisors (6494635196).

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

3423200004 is a wasteful number, since it uses less digits than its factorization.

3423200004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39289 (or 39284 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3423200004 is about 58508.1191288867. The cubic root of 3423200004 is about 1507.1070150436.

Adding to 3423200004 its reverse (4000023243), we get a palindrome (7423223247).

The spelling of 3423200004 in words is "three billion, four hundred twenty-three million, two hundred thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 349 698 1047 1396 2094 2443 3141 4188 4886 6282 7329 9772 12564 14658 21987 29316 38923 43974 77846 87948 116769 155692 233538 272461 350307 467076 544922 700614 817383 1089844 1401228 1634766 2452149 3269532 4904298 9808596 13584127 27168254 40752381 54336508 81504762 95088889 122257143 163009524 190177778 244514286 285266667 380355556 489028572 570533334 855800001 1141066668 1711600002 3423200004