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3407407047 = 3311195311393
BaseRepresentation
bin1100101100011000…
…1110011111000111
322210110122012202000
43023012032133013
523434244011142
61322040320343
7150303324222
oct31306163707
98713565660
103407407047
111499435390
127b11730b3
13423c1a3b5
142447785b9
1514e21c14c
hexcb18e7c7

3407407047 has 64 divisors (see below), whose sum is σ = 5906649600. Its totient is φ = 1919324160.

The previous prime is 3407407043. The next prime is 3407407061. The reversal of 3407407047 is 7407047043.

It is not a de Polignac number, because 3407407047 - 22 = 3407407043 is a prime.

It is a super-2 number, since 2×34074070472 = 23220845567890520418, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407407043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293383 + ... + 304775.

It is an arithmetic number, because the mean of its divisors is an integer number (92291400).

Almost surely, 23407407047 is an apocalyptic number.

3407407047 is a deficient number, since it is larger than the sum of its proper divisors (2499242553).

3407407047 is a wasteful number, since it uses less digits than its factorization.

3407407047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11485 (or 11479 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 3407407047 is about 58372.9992976205. Note that the first 3 decimals coincide. The cubic root of 3407407047 is about 1504.7857587701.

The spelling of 3407407047 in words is "three billion, four hundred seven million, four hundred seven thousand, forty-seven".

Divisors: 1 3 9 11 19 27 33 53 57 99 159 171 209 297 477 513 583 627 1007 1431 1749 1881 3021 5247 5643 9063 11077 11393 15741 27189 33231 34179 99693 102537 125323 216467 299079 307611 375969 603829 649401 1127907 1811487 1948203 2381137 3383721 5434461 5844609 6642119 7143411 11472751 16303383 19926357 21430233 34418253 59779071 64290699 103254759 126200261 179337213 309764277 378600783 1135802349 3407407047