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3454454000 = 24533155717
BaseRepresentation
bin1100110111100110…
…1100100011110000
322220202011110000202
43031321230203300
524033320012000
61330440534332
7151414242314
oct31571544360
98822143022
103454454000
111512a49468
12804a813a8
134308b062a
1424ab03b44
15153411dd5
hexcde6c8f0

3454454000 has 80 divisors (see below), whose sum is σ = 8622471936. Its totient is φ = 1337184000.

The previous prime is 3454453997. The next prime is 3454454021. The reversal of 3454454000 is 4544543.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34142 + ... + 89858.

Almost surely, 23454454000 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 3454454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311235968).

3454454000 is an abundant number, since it is smaller than the sum of its proper divisors (5168017936).

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

3454454000 is a wasteful number, since it uses less digits than its factorization.

3454454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55771 (or 55755 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 3454454000 is about 58774.6033589339. The cubic root of 3454454000 is about 1511.6797820425.

Adding to 3454454000 its reverse (4544543), we get a palindrome (3458998543).

The spelling of 3454454000 in words is "three billion, four hundred fifty-four million, four hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 55717 62000 111434 222868 278585 445736 557170 891472 1114340 1392925 1727227 2228680 2785850 3454454 4457360 5571700 6908908 6964625 8636135 11143400 13817816 13929250 17272270 22286800 27635632 27858500 34544540 43180675 55717000 69089080 86361350 111434000 138178160 172722700 215903375 345445400 431806750 690890800 863613500 1727227000 3454454000