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3454444440 = 233259595679
BaseRepresentation
bin1100110111100110…
…1010001110011000
322220202010221220200
43031321222032120
524033314210230
61330440422200
7151414202406
oct31571521630
98822127820
103454444440
111512a42267
12804a77960
134308a9185
1424ab00476
1515340e160
hexcde6a398

3454444440 has 48 divisors (see below), whose sum is σ = 11226945600. Its totient is φ = 921185088.

The previous prime is 3454444439. The next prime is 3454444453. The reversal of 3454444440 is 444444543.

3454444440 is a `hidden beast` number, since 34 + 544 + 4 + 44 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3454444395 and 3454444404.

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 11 ways as a sum of consecutive naturals, for example, 4797480 + ... + 4798199.

It is an arithmetic number, because the mean of its divisors is an integer number (233894700).

Almost surely, 23454444440 is an apocalyptic number.

3454444440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3454444440 is an abundant number, since it is smaller than the sum of its proper divisors (7772501160).

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

3454444440 is a wasteful number, since it uses less digits than its factorization.

3454444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9595696 (or 9595689 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

The square root of 3454444440 is about 58774.5220312339. The cubic root of 3454444440 is about 1511.6783875460.

Adding to 3454444440 its reverse (444444543), we get a palindrome (3898888983).

The spelling of 3454444440 in words is "three billion, four hundred fifty-four million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9595679 19191358 28787037 38382716 47978395 57574074 76765432 86361111 95956790 115148148 143935185 172722222 191913580 230296296 287870370 345444444 383827160 431805555 575740740 690888888 863611110 1151481480 1727222220 3454444440