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3404377067 = 721323741271
BaseRepresentation
bin1100101011101010…
…1010101111101011
322210020221021101112
43022322222233223
523433010031232
61321451340535
7150235504400
oct31272525753
98706837345
103404377067
111497755973
127b015174b
134233c9200
142441ca2a7
1514dd1e4b2
hexcaeaabeb

3404377067 has 72 divisors (see below), whose sum is σ = 4528222272. Its totient is φ = 2547417600.

The previous prime is 3404377057. The next prime is 3404377069. The reversal of 3404377067 is 7607734043.

It is not a de Polignac number, because 3404377067 - 24 = 3404377051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (3404377069) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12562142 + ... + 12562412.

It is an arithmetic number, because the mean of its divisors is an integer number (62891976).

Almost surely, 23404377067 is an apocalyptic number.

3404377067 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3404377067 is a deficient number, since it is larger than the sum of its proper divisors (1123845205).

3404377067 is a wasteful number, since it uses less digits than its factorization.

3404377067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 41.

The square root of 3404377067 is about 58347.0399163488. The cubic root of 3404377067 is about 1504.3395912653.

The spelling of 3404377067 in words is "three billion, four hundred four million, three hundred seventy-seven thousand, sixty-seven".

Divisors: 1 7 13 37 41 49 91 169 259 271 287 481 533 637 1183 1517 1813 1897 2009 3367 3523 3731 6253 6929 8281 10027 10619 11111 13279 19721 23569 24661 26117 43771 45799 48503 70189 74333 77777 130351 138047 144443 172627 256373 306397 320593 339521 411107 491323 544439 912457 966329 1011101 1694563 1794611 1877759 2244151 2877749 5344391 6387199 7077707 11861941 12562277 13144313 20144243 37410737 69477083 83033587 92010191 261875159 486339581 3404377067