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2465378304 = 2123313641
BaseRepresentation
bin1001001011110010…
…1011000000000000
320100211001012020120
42102330223000000
520022114101204
61044345340240
7115044240564
oct22274530000
96324035216
102465378304
111055707234
12589797680
133039c993c
141955db6a4
15e668c6d9
hex92f2b000

2465378304 has 104 divisors (see below), whose sum is σ = 6604829232. Its totient is φ = 817889280.

The previous prime is 2465378249. The next prime is 2465378317. The reversal of 2465378304 is 4038735642.

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, 3845824 + ... + 3846464.

Almost surely, 22465378304 is an apocalyptic number.

2465378304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2465378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302414616).

2465378304 is an abundant number, since it is smaller than the sum of its proper divisors (4139450928).

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

2465378304 is an equidigital number, since it uses as much as digits as its factorization.

2465378304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 2465378304 is about 49652.5760056817. The cubic root of 2465378304 is about 1350.9144794387.

The spelling of 2465378304 in words is "two billion, four hundred sixty-five million, three hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 313 384 512 626 641 768 939 1024 1252 1282 1536 1878 1923 2048 2504 2564 3072 3756 3846 4096 5008 5128 6144 7512 7692 10016 10256 12288 15024 15384 20032 20512 30048 30768 40064 41024 60096 61536 80128 82048 120192 123072 160256 164096 200633 240384 246144 320512 328192 401266 480768 492288 601899 641024 656384 802532 961536 984576 1203798 1282048 1312768 1605064 1923072 1969152 2407596 2625536 3210128 3846144 3938304 4815192 6420256 7876608 9630384 12840512 19260768 25681024 38521536 51362048 77043072 102724096 154086144 205448192 308172288 410896384 616344576 821792768 1232689152 2465378304