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3401349687 = 32231091271187
BaseRepresentation
bin1100101010111100…
…0111101000110111
322210001020110121100
43022233013220313
523431221142222
61321302421143
7150200665251
oct31257075067
98701213540
103401349687
111495a783aa
127ab1317b3
134228a9268
14243a3ccd1
1514d9224ac
hexcabc7a37

3401349687 has 48 divisors (see below), whose sum is σ = 5218836480. Its totient is φ = 2130359616.

The previous prime is 3401349649. The next prime is 3401349697. The reversal of 3401349687 is 7869431043.

It is not a de Polignac number, because 3401349687 - 222 = 3397155383 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3401349697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2864908 + ... + 2866094.

It is an arithmetic number, because the mean of its divisors is an integer number (108725760).

Almost surely, 23401349687 is an apocalyptic number.

3401349687 is a deficient number, since it is larger than the sum of its proper divisors (1817486793).

3401349687 is a wasteful number, since it uses less digits than its factorization.

3401349687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3401349687 is about 58321.0912706544. The cubic root of 3401349687 is about 1503.8935421420.

The spelling of 3401349687 in words is "three billion, four hundred one million, three hundred forty-nine thousand, six hundred eighty-seven".

Divisors: 1 3 9 23 69 109 127 207 327 381 981 1143 1187 2507 2921 3561 7521 8763 10683 13843 22563 26289 27301 41529 81903 124587 129383 150749 245709 318389 388149 452247 955167 1164447 1356741 2865501 2975809 3467227 8927427 10401681 16431641 26782281 31205043 49294923 147884769 377927743 1133783229 3401349687