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3400333420 = 2251171217691
BaseRepresentation
bin1100101010101100…
…1111100001101100
322202222022211112211
43022223033201230
523430441132140
61321224540204
7150156233341
oct31253174154
98688284484
103400333420
111495443910
127aa921664
13422611813
142438567c8
1514d7c12ea
hexcaacf86c

3400333420 has 48 divisors (see below), whose sum is σ = 7899607296. Its totient is φ = 1219064000.

The previous prime is 3400333399. The next prime is 3400333427. The reversal of 3400333420 is 243330043.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3400333391 and 3400333400.

It is not an unprimeable number, because it can be changed into a prime (3400333427) by changing a digit.

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, 93226 + ... + 124465.

It is an arithmetic number, because the mean of its divisors is an integer number (164575152).

Almost surely, 23400333420 is an apocalyptic number.

It is an amenable number.

3400333420 is an abundant number, since it is smaller than the sum of its proper divisors (4499273876).

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

3400333420 is a wasteful number, since it uses less digits than its factorization.

3400333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217782 (or 217780 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 3400333420 is about 58312.3779312763. The cubic root of 3400333420 is about 1503.7437477211.

Adding to 3400333420 its reverse (243330043), we get a palindrome (3643663463).

The spelling of 3400333420 in words is "three billion, four hundred million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620 217691 435382 870764 1088455 2176910 2394601 4353820 4789202 9578404 11973005 15456061 23946010 30912122 47892020 61824244 77280305 154560610 170016671 309121220 340033342 680066684 850083355 1700166710 3400333420