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232354740 = 2235231371229
BaseRepresentation
bin11011101100101…
…11001110110100
3121012012211210010
431312113032310
5433440322430
635020100220
75520661032
oct1566271664
9535184703
10232354740
1110a181612
1265994670
13391a5017
1422c05552
15155eacb0
hexdd973b4

232354740 has 96 divisors (see below), whose sum is σ = 684391680. Its totient is φ = 58786816.

The previous prime is 232354669. The next prime is 232354741. The reversal of 232354740 is 47453232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232354698 and 232354707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232354741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188446 + ... + 189674.

It is an arithmetic number, because the mean of its divisors is an integer number (7129080).

Almost surely, 2232354740 is an apocalyptic number.

232354740 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 232354740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342195840).

232354740 is an abundant number, since it is smaller than the sum of its proper divisors (452036940).

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

232354740 is a wasteful number, since it uses less digits than its factorization.

232354740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 232354740 is about 15243.1866747081. The cubic root of 232354740 is about 614.7763877381.

The spelling of 232354740 in words is "two hundred thirty-two million, three hundred fifty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 137 138 230 274 276 345 411 460 548 685 690 822 1229 1370 1380 1644 2055 2458 2740 3151 3687 4110 4916 6145 6302 7374 8220 9453 12290 12604 14748 15755 18435 18906 24580 28267 31510 36870 37812 47265 56534 63020 73740 84801 94530 113068 141335 168373 169602 189060 282670 336746 339204 424005 505119 565340 673492 841865 848010 1010238 1683730 1696020 2020476 2525595 3367460 3872579 5051190 7745158 10102380 11617737 15490316 19362895 23235474 38725790 46470948 58088685 77451580 116177370 232354740