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3442041984 = 27343208457
BaseRepresentation
bin1100110100101001…
…0110010010000000
322212212210211221110
43031022112102000
524022130320414
61325314523320
7151203605553
oct31512262200
98785724843
103442041984
111506a410a7
12800896540
1342b155c44
142491d269a
151522ae459
hexcd296480

3442041984 has 64 divisors (see below), whose sum is σ = 9355595040. Its totient is φ = 1120659456.

The previous prime is 3442041983. The next prime is 3442042001. The reversal of 3442041984 is 4891402443.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3442041983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87717 + ... + 120740.

Almost surely, 23442041984 is an apocalyptic number.

It is an amenable number.

3442041984 is an abundant number, since it is smaller than the sum of its proper divisors (5913553056).

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

3442041984 is a wasteful number, since it uses less digits than its factorization.

3442041984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208517 (or 208505 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3442041984 is about 58668.9183810303. The cubic root of 3442041984 is about 1509.8670970554.

The spelling of 3442041984 in words is "three billion, four hundred forty-two million, forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5504 8256 16512 208457 416914 625371 833828 1250742 1667656 2501484 3335312 5002968 6670624 8963651 10005936 13341248 17927302 20011872 26682496 26890953 35854604 40023744 53781906 71709208 80047488 107563812 143418416 215127624 286836832 430255248 573673664 860510496 1147347328 1721020992 3442041984