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4334476416 = 27329389231
BaseRepresentation
bin1000000100101101…
…01101110010000000
3102012002002012211120
410002112231302000
532334111221131
61554034512240
7212261304324
oct40226556200
912162065746
104334476416
111924776316
12a0b735680
13541000b5a
142d193d984
151a57e4496
hex1025adc80

4334476416 has 64 divisors (see below), whose sum is σ = 11910499200. Its totient is φ = 1395000320.

The previous prime is 4334476409. The next prime is 4334476427. The reversal of 4334476416 is 6146744334.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183480 + ... + 205751.

It is an arithmetic number, because the mean of its divisors is an integer number (186101550).

Almost surely, 24334476416 is an apocalyptic number.

It is an amenable number.

4334476416 is an abundant number, since it is smaller than the sum of its proper divisors (7576022784).

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

4334476416 is a wasteful number, since it uses less digits than its factorization.

4334476416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389277 (or 389265 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The square root of 4334476416 is about 65836.7406240619. The cubic root of 4334476416 is about 1630.4677564060.

The spelling of 4334476416 in words is "four billion, three hundred thirty-four million, four hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 11136 389231 778462 1167693 1556924 2335386 3113848 4670772 6227696 9341544 11287699 12455392 18683088 22575398 24910784 33863097 37366176 45150796 49821568 67726194 74732352 90301592 135452388 149464704 180603184 270904776 361206368 541809552 722412736 1083619104 1444825472 2167238208 4334476416