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2313948 = 2237132163
BaseRepresentation
bin1000110100111011011100
311100120010210
420310323130
51043021243
6121332420
725445130
oct10647334
94316123
102313948
11134055a
12937110
13630300
144433c0
1530a933
hex234edc

2313948 has 72 divisors (see below), whose sum is σ = 6722688. Its totient is φ = 606528.

The previous prime is 2313947. The next prime is 2313967. The reversal of 2313948 is 8493132.

2313948 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14115 + ... + 14277.

22313948 is an apocalyptic number.

2313948 is a gapful number since it is divisible by the number (28) 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 2313948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361344).

2313948 is an abundant number, since it is smaller than the sum of its proper divisors (4408740).

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

2313948 is a wasteful number, since it uses less digits than its factorization.

2313948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 2313948 is about 1521.1666575362. The cubic root of 2313948 is about 132.2669071429.

Adding to 2313948 its product of digits (5184), we get a palindrome (2319132).

The spelling of 2313948 in words is "two million, three hundred thirteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 163 169 182 273 326 338 364 489 507 546 652 676 978 1014 1092 1141 1183 1956 2028 2119 2282 2366 3423 3549 4238 4564 4732 6357 6846 7098 8476 12714 13692 14196 14833 25428 27547 29666 44499 55094 59332 82641 88998 110188 165282 177996 192829 330564 385658 578487 771316 1156974 2313948