Search a number
-
+
34311048 = 23331107431
BaseRepresentation
bin1000001011100…
…0101110001000
32101120011220120
42002320232020
532240423143
63223223240
7564432132
oct202705610
971504816
1034311048
1118405442
12b5a7b20
1371542c5
1447b2052
15302b383
hex20b8b88

34311048 has 64 divisors (see below), whose sum is σ = 89579520. Its totient is φ = 10939200.

The previous prime is 34311047. The next prime is 34311059. The reversal of 34311048 is 84011343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34311041) 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, 79393 + ... + 79823.

It is an arithmetic number, because the mean of its divisors is an integer number (1399680).

Almost surely, 234311048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34311048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44789760).

34311048 is an abundant number, since it is smaller than the sum of its proper divisors (55268472).

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

34311048 is a wasteful number, since it uses less digits than its factorization.

34311048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 34311048 is about 5857.5633159190. The cubic root of 34311048 is about 324.9460991479.

The spelling of 34311048 in words is "thirty-four million, three hundred eleven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 107 124 186 214 248 321 372 428 431 642 744 856 862 1284 1293 1724 2568 2586 3317 3448 5172 6634 9951 10344 13268 13361 19902 26536 26722 39804 40083 46117 53444 79608 80166 92234 106888 138351 160332 184468 276702 320664 368936 553404 1106808 1429627 2859254 4288881 5718508 8577762 11437016 17155524 34311048