Search a number
-
+
3411430452 = 2233731034201
BaseRepresentation
bin1100101101010110…
…0100110000110100
322210202012121211000
43023111210300310
523441311233302
61322302443300
7150352452243
oct31325446064
98722177730
103411430452
1114a0733211
127b2593530
134249c8801
1424510495a
1514e76431c
hexcb564c34

3411430452 has 96 divisors (see below), whose sum is σ = 9054805760. Its totient is φ = 1110412800.

The previous prime is 3411430447. The next prime is 3411430453. The reversal of 3411430452 is 2540341143.

It is a happy number.

3411430452 is a `hidden beast` number, since 341 + 14 + 304 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411430453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809952 + ... + 814152.

Almost surely, 23411430452 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 3411430452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527402880).

3411430452 is an abundant number, since it is smaller than the sum of its proper divisors (5643375308).

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

3411430452 is a wasteful number, since it uses less digits than its factorization.

3411430452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3411430452 is about 58407.4520245491. The cubic root of 3411430452 is about 1505.3778004666.

Adding to 3411430452 its reverse (2540341143), we get a palindrome (5951771595).

The spelling of 3411430452 in words is "three billion, four hundred eleven million, four hundred thirty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 103 108 146 206 219 292 309 412 438 618 657 876 927 1236 1314 1854 1971 2628 2781 3708 3942 4201 5562 7519 7884 8402 11124 12603 15038 16804 22557 25206 30076 37809 45114 50412 67671 75618 90228 113427 135342 151236 203013 226854 270684 306673 406026 432703 453708 613346 812052 865406 920019 1226692 1298109 1730812 1840038 2596218 2760057 3680076 3894327 5192436 5520114 7788654 8280171 11040228 11682981 15577308 16560342 23365962 31587319 33120684 46731924 63174638 94761957 126349276 189523914 284285871 379047828 568571742 852857613 1137143484 1705715226 3411430452