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1616401344 = 26317495221
BaseRepresentation
bin110000001011000…
…0101001111000000
311011122112200210110
41200112011033000
511302244320334
6424221031320
755025120235
oct14026051700
94148480713
101616401344
1175a464288
123913b5540
131c9b591cc
1411496378c
1596d8dae9
hex605853c0

1616401344 has 56 divisors (see below), whose sum is σ = 4528309968. Its totient is φ = 507105280.

The previous prime is 1616401313. The next prime is 1616401373. The reversal of 1616401344 is 4431046161.

It is a super-2 number, since 2×16164013442 = 5225506609770012672, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 244347 + ... + 250874.

It is an arithmetic number, because the mean of its divisors is an integer number (80862678).

Almost surely, 21616401344 is an apocalyptic number.

It is an amenable number.

1616401344 is an abundant number, since it is smaller than the sum of its proper divisors (2911908624).

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

1616401344 is a wasteful number, since it uses less digits than its factorization.

1616401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495253 (or 495243 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1616401344 is about 40204.4940771551. The cubic root of 1616401344 is about 1173.5900018153.

The spelling of 1616401344 in words is "one billion, six hundred sixteen million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 495221 990442 1485663 1980884 2971326 3961768 5942652 7923536 8418757 11885304 15847072 16837514 23770608 25256271 31694144 33675028 47541216 50512542 67350056 95082432 101025084 134700112 202050168 269400224 404100336 538800448 808200672 1616401344