Search a number
-
+
1132373352 = 2331123434337
BaseRepresentation
bin100001101111110…
…1010010101101000
32220220202112012210
41003133222111220
54304341421402
6304210405120
740030005015
oct10337522550
92826675183
101132373352
11531216950
122772907a0
131507a7006
14aa56870c
156962d06c
hex437ea568

1132373352 has 128 divisors (see below), whose sum is σ = 3298268160. Its totient is φ = 320517120.

The previous prime is 1132373323. The next prime is 1132373357. The reversal of 1132373352 is 2533732311.

It is not an unprimeable number, because it can be changed into a prime (1132373357) 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, 258928 + ... + 263264.

It is an arithmetic number, because the mean of its divisors is an integer number (25767720).

Almost surely, 21132373352 is an apocalyptic number.

1132373352 is a gapful number since it is divisible by the number (12) 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 1132373352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649134080).

1132373352 is an abundant number, since it is smaller than the sum of its proper divisors (2165894808).

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

1132373352 is a wasteful number, since it uses less digits than its factorization.

1132373352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4419 counting only the distinct ones).

The product of its digits is 11340, while the sum is 30.

The square root of 1132373352 is about 33650.7555932998. The cubic root of 1132373352 is about 1042.3091418340.

The spelling of 1132373352 in words is "one billion, one hundred thirty-two million, three hundred seventy-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 43 44 46 66 69 86 88 92 129 132 138 172 184 253 258 264 276 344 473 506 516 552 759 946 989 1012 1032 1419 1518 1892 1978 2024 2838 2967 3036 3784 3956 4337 5676 5934 6072 7912 8674 10879 11352 11868 13011 17348 21758 23736 26022 32637 34696 43516 47707 52044 65274 87032 95414 99751 104088 130548 143121 186491 190828 199502 261096 286242 299253 372982 381656 399004 559473 572484 598506 745964 798008 1097261 1118946 1144968 1197012 1491928 2051401 2194522 2237892 2394024 3291783 4102802 4289293 4389044 4475784 6154203 6583566 8205604 8578586 8778088 12308406 12867879 13167132 16411208 17157172 24616812 25735758 26334264 34314344 47182223 49233624 51471516 94364446 102943032 141546669 188728892 283093338 377457784 566186676 1132373352