[go: up one dir, main page]

Search a number
-
+
238769064 = 233229173661
BaseRepresentation
bin11100011101101…
…01001110101000
3121122021201120200
432032311032220
5442111102224
635405352200
75626334502
oct1616651650
9548251520
10238769064
11112862806
1267b68660
133a60c791
14239d4d72
1515e665c9
hexe3b53a8

238769064 has 96 divisors (see below), whose sum is σ = 673849800. Its totient is φ = 76285440.

The previous prime is 238769059. The next prime is 238769107. The reversal of 238769064 is 460967832.

It can be written as a sum of positive squares in 4 ways, for example, as 238702500 + 66564 = 15450^2 + 258^2 .

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, 360894 + ... + 361554.

Almost surely, 2238769064 is an apocalyptic number.

238769064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238769064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336924900).

238769064 is an abundant number, since it is smaller than the sum of its proper divisors (435080736).

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

238769064 is a wasteful number, since it uses less digits than its factorization.

238769064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 238769064 is about 15452.1540246012. The cubic root of 238769064 is about 620.3822339516.

The spelling of 238769064 in words is "two hundred thirty-eight million, seven hundred sixty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 173 174 232 261 346 348 519 522 661 692 696 1038 1044 1322 1384 1557 1983 2076 2088 2644 3114 3966 4152 5017 5288 5949 6228 7932 10034 11898 12456 15051 15864 19169 20068 23796 30102 38338 40136 45153 47592 57507 60204 76676 90306 114353 115014 120408 153352 172521 180612 228706 230028 343059 345042 361224 457412 460056 686118 690084 914824 1029177 1372236 1380168 2058354 2744472 3316237 4116708 6632474 8233416 9948711 13264948 19897422 26529896 29846133 39794844 59692266 79589688 119384532 238769064