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67490304 = 29376277
BaseRepresentation
bin1000000010111…
…01001000000000
311200222212021220
410001131020000
5114234142204
610410315040
71446441510
oct401351000
9150885256
1067490304
1135107512
121a728a80
1310ca03bb
148d6b840
155dd21d9
hex405d200

67490304 has 80 divisors (see below), whose sum is σ = 205516608. Its totient is φ = 19279872.

The previous prime is 67490237. The next prime is 67490309. The reversal of 67490304 is 40309476.

It is a super-2 number, since 2×674903042 = 9109882268024832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67490309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7614 + ... + 13890.

Almost surely, 267490304 is an apocalyptic number.

67490304 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 67490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102758304).

67490304 is an abundant number, since it is smaller than the sum of its proper divisors (138026304).

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

67490304 is an equidigital number, since it uses as much as digits as its factorization.

67490304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 67490304 is about 8215.2482616169. The cubic root of 67490304 is about 407.1431460052.

The spelling of 67490304 in words is "sixty-seven million, four hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 6277 10752 12554 18831 25108 37662 43939 50216 75324 87878 100432 131817 150648 175756 200864 263634 301296 351512 401728 527268 602592 703024 803456 1054536 1205184 1406048 1606912 2109072 2410368 2812096 3213824 4218144 4820736 5624192 8436288 9641472 11248384 16872576 22496768 33745152 67490304