Search a number
-
+
235354240 = 27511101331
BaseRepresentation
bin11100000011100…
…11100010000000
3121101212020022201
432001303202000
5440222313430
635204242544
75555322652
oct1601634200
9541766281
10235354240
11110940140
12669a0454
13399b5384
14233866d2
15159de8ca
hexe073880

235354240 has 128 divisors (see below), whose sum is σ = 621743040. Its totient is φ = 84480000.

The previous prime is 235354213. The next prime is 235354271. The reversal of 235354240 is 42453532.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 235354199 and 235354208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710875 + ... + 711205.

Almost surely, 2235354240 is an apocalyptic number.

235354240 is a gapful number since it is divisible by the number (20) 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 235354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310871520).

235354240 is an abundant number, since it is smaller than the sum of its proper divisors (386388800).

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

235354240 is a wasteful number, since it uses less digits than its factorization.

235354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 235354240 is about 15341.2594007141. The cubic root of 235354240 is about 617.4104969524.

The spelling of 235354240 in words is "two hundred thirty-five million, three hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 320 331 352 404 440 505 640 662 704 808 880 1010 1111 1324 1408 1616 1655 1760 2020 2222 2648 3232 3310 3520 3641 4040 4444 5296 5555 6464 6620 7040 7282 8080 8888 10592 11110 12928 13240 14564 16160 17776 18205 21184 22220 26480 29128 32320 33431 35552 36410 42368 44440 52960 58256 64640 66862 71104 72820 88880 105920 116512 133724 142208 145640 167155 177760 211840 233024 267448 291280 334310 355520 367741 466048 534896 582560 668620 711040 735482 1069792 1165120 1337240 1470964 1838705 2139584 2330240 2674480 2941928 3677410 4279168 5348960 5883856 7354820 10697920 11767712 14709640 21395840 23535424 29419280 47070848 58838560 117677120 235354240