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2738248320 = 27351426171
BaseRepresentation
bin1010001100110110…
…0101101010000000
321001211111102112110
42203031211222000
521101442421240
61131414055320
7124566504153
oct24315455200
97054442473
102738248320
111185740545
1264504a540
133483b8ba2
141bd94bc9a
151105dcc80
hexa3365a80

2738248320 has 64 divisors (see below), whose sum is σ = 8728172640. Its totient is φ = 730199040.

The previous prime is 2738248297. The next prime is 2738248343. The reversal of 2738248320 is 238428372.

It is an interprime number because it is at equal distance from previous prime (2738248297) and next prime (2738248343).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711166 + ... + 715005.

Almost surely, 22738248320 is an apocalyptic number.

2738248320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2738248320 is an abundant number, since it is smaller than the sum of its proper divisors (5989924320).

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

2738248320 is a wasteful number, since it uses less digits than its factorization.

2738248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426193 (or 1426181 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2738248320 is about 52328.2745750326. The cubic root of 2738248320 is about 1399.0211388823.

The spelling of 2738248320 in words is "two billion, seven hundred thirty-eight million, two hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1426171 2852342 4278513 5704684 7130855 8557026 11409368 14261710 17114052 21392565 22818736 28523420 34228104 42785130 45637472 57046840 68456208 85570260 91274944 114093680 136912416 171140520 182549888 228187360 273824832 342281040 456374720 547649664 684562080 912749440 1369124160 2738248320