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3641342080 = 27529196193
BaseRepresentation
bin1101100100001010…
…0111100010000000
3100101202211100021111
43121002213202000
524424140421310
61401154333104
7156143616445
oct33102474200
910352740244
103641342080
1115a9496222
1285758a194
134605267ac
142678719cc
15164a2b28a
hexd90a7880

3641342080 has 64 divisors (see below), whose sum is σ = 9005304600. Its totient is φ = 1406304256.

The previous prime is 3641342069. The next prime is 3641342123. The reversal of 3641342080 is 802431463.

It can be written as a sum of positive squares in 4 ways, for example, as 2297093184 + 1344248896 = 47928^2 + 36664^2 .

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

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, 79537 + ... + 116656.

Almost surely, 23641342080 is an apocalyptic number.

It is an amenable number.

3641342080 is an abundant number, since it is smaller than the sum of its proper divisors (5363962520).

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

3641342080 is a wasteful number, since it uses less digits than its factorization.

3641342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196241 (or 196229 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3641342080 is about 60343.5338706642. The cubic root of 3641342080 is about 1538.4633685722.

The spelling of 3641342080 in words is "three billion, six hundred forty-one million, three hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 18560 196193 392386 784772 980965 1569544 1961930 3139088 3923860 5689597 6278176 7847720 11379194 12556352 15695440 22758388 25112704 28447985 31390880 45516776 56895970 62781760 91033552 113791940 125563520 182067104 227583880 364134208 455167760 728268416 910335520 1820671040 3641342080