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234927440 = 245112391117
BaseRepresentation
bin11100000000010…
…11010101010000
3121101001112212022
432000023111100
5440120134230
635151151012
75551564436
oct1600132520
9541045768
10234927440
11110679510
1266815468
1339896027
14232b4d56
15159581e5
hexe00b550

234927440 has 80 divisors (see below), whose sum is σ = 598890240. Its totient is φ = 84994560.

The previous prime is 234927431. The next prime is 234927443. The reversal of 234927440 is 44729432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 234927440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234927443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209762 + ... + 210878.

It is an arithmetic number, because the mean of its divisors is an integer number (7486128).

Almost surely, 2234927440 is an apocalyptic number.

234927440 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 234927440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299445120).

234927440 is an abundant number, since it is smaller than the sum of its proper divisors (363962800).

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

234927440 is a wasteful number, since it uses less digits than its factorization.

234927440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 234927440 is about 15327.3428877937. The cubic root of 234927440 is about 617.0370595226.

The spelling of 234927440 in words is "two hundred thirty-four million, nine hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 239 440 478 880 956 1117 1195 1912 2234 2390 2629 3824 4468 4780 5258 5585 8936 9560 10516 11170 12287 13145 17872 19120 21032 22340 24574 26290 42064 44680 49148 52580 61435 89360 98296 105160 122870 196592 210320 245740 266963 491480 533926 982960 1067852 1334815 2135704 2669630 2936593 4271408 5339260 5873186 10678520 11746372 14682965 21357040 23492744 29365930 46985488 58731860 117463720 234927440