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3983429097 = 341919313411
BaseRepresentation
bin1110110101101110…
…0100110111101001
3101021121112011110000
43231123210313221
531124224212342
61455134413213
7200466405624
oct35533446751
911247464400
103983429097
1117645a626a
12932061209
134b636c04b
1429b07cdbb
15184aa044c
hexed6e4de9

3983429097 has 40 divisors (see below), whose sum is σ = 6296665760. Its totient is φ = 2502627840.

The previous prime is 3983429081. The next prime is 3983429101. The reversal of 3983429097 is 7909243893.

It is not a de Polignac number, because 3983429097 - 24 = 3983429081 is a prime.

It is a super-4 number, since 4×39834290974 (a number of 40 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3983429077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 290322 + ... + 303732.

It is an arithmetic number, because the mean of its divisors is an integer number (157416644).

Almost surely, 23983429097 is an apocalyptic number.

It is an amenable number.

3983429097 is a deficient number, since it is larger than the sum of its proper divisors (2313236663).

3983429097 is a wasteful number, since it uses less digits than its factorization.

3983429097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13635 (or 13626 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 3983429097 is about 63114.4127517638. The cubic root of 3983429097 is about 1585.2059622157.

The spelling of 3983429097 in words is "three billion, nine hundred eighty-three million, four hundred twenty-nine thousand, ninety-seven".

Divisors: 1 3 9 19 27 57 81 171 193 513 579 1539 1737 3667 5211 11001 13411 15633 33003 40233 99009 120699 254809 297027 362097 764427 1086291 2293281 2588323 6879843 7764969 20639529 23294907 49178137 69884721 147534411 209654163 442603233 1327809699 3983429097