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3384914008446 = 233312022051379
BaseRepresentation
bin110001010000011100100…
…110001101100101111110
3102222121001110212212112000
4301100130212031211332
5420424300441232241
611111001422323130
7466360216226325
oct61203446154576
912877043785460
103384914008446
111095596793363
12468028a294a6
131b7271874909
14b9b8b68d0bc
155d0b19ddeb6
hex3141c98d97e

3384914008446 has 32 divisors (see below), whose sum is σ = 7764677299200. Its totient is φ = 1091907744120.

The previous prime is 3384914008439. The next prime is 3384914008453. The reversal of 3384914008446 is 6448004194833.

3384914008446 is a `hidden beast` number, since 3 + 38 + 4 + 91 + 400 + 84 + 46 = 666.

3384914008446 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3384914008439) and next prime (3384914008453).

It is a super-2 number, since 2×33849140084462 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3384914008392 and 3384914008401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011024016 + ... + 1011027363.

It is an arithmetic number, because the mean of its divisors is an integer number (242646165600).

Almost surely, 23384914008446 is an apocalyptic number.

3384914008446 is an abundant number, since it is smaller than the sum of its proper divisors (4379763290754).

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

3384914008446 is a wasteful number, since it uses less digits than its factorization.

3384914008446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022051421 (or 2022051415 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3384914008446 in words is "three trillion, three hundred eighty-four billion, nine hundred fourteen million, eight thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 2022051379 4044102758 6066154137 12132308274 18198462411 36396924822 54595387233 62683592749 109190774466 125367185498 188050778247 376101556494 564152334741 1128304669482 1692457004223 3384914008446