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3400378368 = 2113553447
BaseRepresentation
bin1100101010101101…
…1010100000000000
322202222102010012120
43022223122200000
523430444101433
61321225524240
7150156511362
oct31253324000
98688363176
103400378368
111495474662
127aa943680
1342262910a
14243868d32
1514d7ce7b3
hexcaada800

3400378368 has 48 divisors (see below), whose sum is σ = 9065478240. Its totient is φ = 1133457408.

The previous prime is 3400378367. The next prime is 3400378393. The reversal of 3400378368 is 8638730043.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3400378367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270580 + ... + 282867.

It is an arithmetic number, because the mean of its divisors is an integer number (188864130).

Almost surely, 23400378368 is an apocalyptic number.

It is an amenable number.

3400378368 is an abundant number, since it is smaller than the sum of its proper divisors (5665099872).

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

3400378368 is an equidigital number, since it uses as much as digits as its factorization.

3400378368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553472 (or 553452 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3400378368 is about 58312.7633370260. The cubic root of 3400378368 is about 1503.7503735396.

The spelling of 3400378368 in words is "three billion, four hundred million, three hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 553447 1106894 1660341 2213788 3320682 4427576 6641364 8855152 13282728 17710304 26565456 35420608 53130912 70841216 106261824 141682432 212523648 283364864 425047296 566729728 850094592 1133459456 1700189184 3400378368