Search a number
-
+
34540240 = 2457371667
BaseRepresentation
bin1000001111000…
…0101011010000
32101222211022011
42003300223100
532320241430
63232152304
7566405260
oct203605320
971884264
1034540240
1118551659
12b698694
137204717
1448317a0
15307422a
hex20f0ad0

34540240 has 80 divisors (see below), whose sum is σ = 94315392. Its totient is φ = 11515392.

The previous prime is 34540237. The next prime is 34540241. The reversal of 34540240 is 4204543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34540241) 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, 19887 + ... + 21553.

Almost surely, 234540240 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 34540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47157696).

34540240 is an abundant number, since it is smaller than the sum of its proper divisors (59775152).

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

34540240 is a wasteful number, since it uses less digits than its factorization.

34540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 34540240 is about 5877.0945202540. The cubic root of 34540240 is about 325.6680224198.

Adding to 34540240 its reverse (4204543), we get a palindrome (38744783).

The spelling of 34540240 in words is "thirty-four million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 1667 2072 2590 2960 3334 4144 5180 6668 8335 10360 11669 13336 16670 20720 23338 26672 33340 46676 58345 61679 66680 93352 116690 123358 133360 186704 233380 246716 308395 431753 466760 493432 616790 863506 933520 986864 1233580 1727012 2158765 2467160 3454024 4317530 4934320 6908048 8635060 17270120 34540240