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349294010507 = 1323732219217
BaseRepresentation
bin1010001010100111000…
…10111010000010001011
31020101120220022012211222
411011103202322002023
521210323231314012
6424244034512255
734143555046601
oct5052342720213
91211526265758
10349294010507
111251533a9a62
1257841a3568b
1326c27542c70
1412c97bb9871
15914509b972
hex51538ba08b

349294010507 has 24 divisors (see below), whose sum is σ = 397970110944. Its totient is φ = 304180614144.

The previous prime is 349294010501. The next prime is 349294010519. The reversal of 349294010507 is 705010492943.

It is not a de Polignac number, because 349294010507 - 234 = 332114141323 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349294010501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483763 + ... + 1702979.

It is an arithmetic number, because the mean of its divisors is an integer number (16582087956).

Almost surely, 2349294010507 is an apocalyptic number.

349294010507 is a deficient number, since it is larger than the sum of its proper divisors (48676100437).

349294010507 is a wasteful number, since it uses less digits than its factorization.

349294010507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219399 (or 219326 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 349294010507 in words is "three hundred forty-nine billion, two hundred ninety-four million, ten thousand, five hundred seven".

Divisors: 1 13 23 73 299 949 1679 5329 21827 69277 122567 219217 1593371 2849821 5041991 16002841 65545883 208036933 368065343 1168207393 4784849459 15186696109 26868770039 349294010507