Search a number
-
+
2320704 = 26331779
BaseRepresentation
bin1000110110100101000000
311100220102000
420312211000
51043230304
6121424000
725503621
oct10664500
94326360
102320704
111345641
1293b000
136333c9
14445a48
1530c939
hex236940

2320704 has 112 divisors (see below), whose sum is σ = 7315200. Its totient is φ = 718848.

The previous prime is 2320699. The next prime is 2320709. The reversal of 2320704 is 4070232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2320699) and next prime (2320709).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320709) 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, 29337 + ... + 29415.

22320704 is an apocalyptic number.

2320704 is a gapful number since it is divisible by the number (24) 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 2320704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657600).

2320704 is an abundant number, since it is smaller than the sum of its proper divisors (4994496).

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

2320704 is a wasteful number, since it uses less digits than its factorization.

2320704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2320704 is about 1523.3857029656. The cubic root of 2320704 is about 132.3955079816.

Adding to 2320704 its reverse (4070232), we get a palindrome (6390936).

The spelling of 2320704 in words is "two million, three hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 79 96 102 108 136 144 153 158 192 204 216 237 272 288 306 316 408 432 459 474 544 576 612 632 711 816 864 918 948 1088 1224 1264 1343 1422 1632 1728 1836 1896 2133 2448 2528 2686 2844 3264 3672 3792 4029 4266 4896 5056 5372 5688 7344 7584 8058 8532 9792 10744 11376 12087 14688 15168 16116 17064 21488 22752 24174 29376 32232 34128 36261 42976 45504 48348 64464 68256 72522 85952 96696 128928 136512 145044 193392 257856 290088 386784 580176 773568 1160352 2320704