Search a number
-
+
3478723164 = 2232728348779
BaseRepresentation
bin1100111101011001…
…0001101001011100
322222102211110001200
43033112101221130
524111023120124
61333105035500
7152130442020
oct31726215134
98872743050
103478723164
111525715224
12811025b90
13435929c97
14250020380
15155607bc9
hexcf591a5c

3478723164 has 72 divisors (see below), whose sum is σ = 10085362560. Its totient is φ = 990388512.

The previous prime is 3478723151. The next prime is 3478723201. The reversal of 3478723164 is 4613278743.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46927 + ... + 95705.

It is an arithmetic number, because the mean of its divisors is an integer number (140074480).

Almost surely, 23478723164 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 3478723164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042681280).

3478723164 is an abundant number, since it is smaller than the sum of its proper divisors (6606639396).

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

3478723164 is a wasteful number, since it uses less digits than its factorization.

3478723164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49079 (or 49074 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 3478723164 is about 58980.7016234972. The cubic root of 3478723164 is about 1515.2116111302.

The spelling of 3478723164 in words is "three billion, four hundred seventy-eight million, seven hundred twenty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 283 566 849 1132 1698 1981 2547 3396 3962 5094 5943 7924 10188 11886 17829 23772 35658 48779 71316 97558 146337 195116 292674 341453 439011 585348 682906 878022 1024359 1365812 1756044 2048718 3073077 4097436 6146154 12292308 13804457 27608914 41413371 55217828 82826742 96631199 124240113 165653484 193262398 248480226 289893597 386524796 496960452 579787194 869680791 1159574388 1739361582 3478723164