Search a number
-
+
2313504 = 253229277
BaseRepresentation
bin1000110100110100100000
311100112112100
420310310200
51043013004
6121330400
725443624
oct10646440
94315470
102313504
111340196
12936a00
1363004b
14443184
1530a739
hex234d20

2313504 has 72 divisors (see below), whose sum is σ = 6830460. Its totient is φ = 741888.

The previous prime is 2313469. The next prime is 2313511. The reversal of 2313504 is 4053132.

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 63504 = 1500^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8214 + ... + 8490.

22313504 is an apocalyptic number.

2313504 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 2313504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415230).

2313504 is an abundant number, since it is smaller than the sum of its proper divisors (4516956).

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

2313504 is a wasteful number, since it uses less digits than its factorization.

2313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2313504 is about 1521.0207099182. The cubic root of 2313504 is about 132.2584468169.

Adding to 2313504 its reverse (4053132), we get a palindrome (6366636).

The spelling of 2313504 in words is "two million, three hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 277 288 348 464 522 554 696 831 928 1044 1108 1392 1662 2088 2216 2493 2784 3324 4176 4432 4986 6648 8033 8352 8864 9972 13296 16066 19944 24099 26592 32132 39888 48198 64264 72297 79776 96396 128528 144594 192792 257056 289188 385584 578376 771168 1156752 2313504