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234485240 = 235113117191
BaseRepresentation
bin11011111100111…
…11010111111000
3121100020002021112
431332133113320
5440012011430
635133455452
75545043303
oct1576372770
9540202245
10234485240
111103a7260
1266641588
133976c982
14231dbb3a
15158bc195
hexdf9f5f8

234485240 has 64 divisors (see below), whose sum is σ = 594155520. Its totient is φ = 82512000.

The previous prime is 234485231. The next prime is 234485261. The reversal of 234485240 is 42584432.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 234485197 and 234485206.

It is a congruent number.

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, 5045 + ... + 22235.

It is an arithmetic number, because the mean of its divisors is an integer number (9283680).

Almost surely, 2234485240 is an apocalyptic number.

234485240 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 234485240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297077760).

234485240 is an abundant number, since it is smaller than the sum of its proper divisors (359670280).

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

234485240 is a wasteful number, since it uses less digits than its factorization.

234485240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17244 (or 17240 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 234485240 is about 15312.9108924463. The cubic root of 234485240 is about 616.6496701752.

The spelling of 234485240 in words is "two hundred thirty-four million, four hundred eighty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 17191 34382 68764 85955 137528 171910 189101 343820 378202 532921 687640 756404 945505 1065842 1512808 1891010 2131684 2664605 3782020 4263368 5329210 5862131 7564040 10658420 11724262 21316840 23448524 29310655 46897048 58621310 117242620 234485240