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3423410440 = 235475473329
BaseRepresentation
bin1100110000001101…
…0001100100001000
322211120202021021021
43030003101210020
524002343113230
61323411322224
7150556336312
oct31403214410
98746667237
103423410440
1114a7475a2a
127b65b0374
13427331668
142469427b2
1515082dc7a
hexcc0d1908

3423410440 has 64 divisors (see below), whose sum is σ = 7883308800. Its totient is φ = 1337376768.

The previous prime is 3423410429. The next prime is 3423410467. The reversal of 3423410440 is 440143243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1026696 + ... + 1030024.

It is an arithmetic number, because the mean of its divisors is an integer number (123176700).

Almost surely, 23423410440 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 3423410440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941654400).

3423410440 is an abundant number, since it is smaller than the sum of its proper divisors (4459898360).

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

3423410440 is a wasteful number, since it uses less digits than its factorization.

3423410440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3423410440 is about 58509.9174499503. The cubic root of 3423410440 is about 1507.1378967793.

Adding to 3423410440 its reverse (440143243), we get a palindrome (3863553683).

The spelling of 3423410440 in words is "three billion, four hundred twenty-three million, four hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 547 940 1094 1880 2188 2735 3329 4376 5470 6658 10940 13316 16645 21880 25709 26632 33290 51418 66580 102836 128545 133160 156463 205672 257090 312926 514180 625852 782315 1028360 1251704 1564630 1820963 3129260 3641926 6258520 7283852 9104815 14567704 18209630 36419260 72838520 85585261 171170522 342341044 427926305 684682088 855852610 1711705220 3423410440