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34540000 = 255411157
BaseRepresentation
bin1000001111000…
…0100111100000
32101222210222021
42003300213200
532320240000
63232151224
7566404465
oct203604740
971883867
1034540000
1118551460
12b698514
137204591
14483166c
15307411a
hex20f09e0

34540000 has 120 divisors (see below), whose sum is σ = 93288888. Its totient is φ = 12480000.

The previous prime is 34539979. The next prime is 34540001. The reversal of 34540000 is 4543.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34540001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219922 + ... + 220078.

Almost surely, 234540000 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 34540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46644444).

34540000 is an abundant number, since it is smaller than the sum of its proper divisors (58748888).

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

34540000 is a wasteful number, since it uses less digits than its factorization.

34540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 34540000 is about 5877.0741019660. The cubic root of 34540000 is about 325.6672681257.

Adding to 34540000 its reverse (4543), we get a palindrome (34544543).

The spelling of 34540000 in words is "thirty-four million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 157 160 176 200 220 250 275 314 352 400 440 500 550 625 628 785 800 880 1000 1100 1250 1256 1375 1570 1727 1760 2000 2200 2500 2512 2750 3140 3454 3925 4000 4400 5000 5024 5500 6280 6875 6908 7850 8635 8800 10000 11000 12560 13750 13816 15700 17270 19625 20000 22000 25120 27500 27632 31400 34540 39250 43175 44000 55000 55264 62800 69080 78500 86350 98125 110000 125600 138160 157000 172700 196250 215875 220000 276320 314000 345400 392500 431750 628000 690800 785000 863500 1079375 1381600 1570000 1727000 2158750 3140000 3454000 4317500 6908000 8635000 17270000 34540000