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65378304 = 211323547
BaseRepresentation
bin1111100101100…
…1100000000000
311120000120011200
43321121200000
5113214101204
610253141200
71422464205
oct371314000
9146016150
1065378304
11339a4762
1219a8a800
1310710cb4
14897bcac
155b16539
hex3e59800

65378304 has 72 divisors (see below), whose sum is σ = 188877780. Its totient is φ = 21786624.

The previous prime is 65378281. The next prime is 65378359. The reversal of 65378304 is 40387356.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16659 + ... + 20205.

Almost surely, 265378304 is an apocalyptic number.

65378304 is a gapful number since it is divisible by the number (64) 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 65378304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94438890).

65378304 is an abundant number, since it is smaller than the sum of its proper divisors (123499476).

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

65378304 is a wasteful number, since it uses less digits than its factorization.

65378304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 65378304 is about 8085.6851286703. The cubic root of 65378304 is about 402.8510965054.

It can be divided in two parts, 6537 and 8304, that added together give a palindrome (14841).

The spelling of 65378304 in words is "sixty-five million, three hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3547 4608 6144 7094 9216 10641 14188 18432 21282 28376 31923 42564 56752 63846 85128 113504 127692 170256 227008 255384 340512 454016 510768 681024 908032 1021536 1362048 1816064 2043072 2724096 3632128 4086144 5448192 7264256 8172288 10896384 16344576 21792768 32689152 65378304