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3417020970 = 2351179131071
BaseRepresentation
bin1100101110101011…
…1001101000101010
322211010201122120020
43023222321220222
523444224132340
61323022341310
7150451125156
oct31352715052
98733648506
103417020970
1114a3901480
127b442a836
13425c052cc
14245b5c066
1514eeba9d0
hexcbab9a2a

3417020970 has 64 divisors (see below), whose sum is σ = 9059696640. Its totient is φ = 817876800.

The previous prime is 3417020963. The next prime is 3417020993. The reversal of 3417020970 is 790207143.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 39466 + ... + 91605.

It is an arithmetic number, because the mean of its divisors is an integer number (141557760).

Almost surely, 23417020970 is an apocalyptic number.

3417020970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3417020970 is an abundant number, since it is smaller than the sum of its proper divisors (5642675670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3417020970 is a wasteful number, since it uses less digits than its factorization.

3417020970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131171.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 3417020970 is about 58455.2903508314. The cubic root of 3417020970 is about 1506.1996696508.

The spelling of 3417020970 in words is "three billion, four hundred seventeen million, twenty thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 158 165 237 330 395 474 790 869 1185 1738 2370 2607 4345 5214 8690 13035 26070 131071 262142 393213 655355 786426 1310710 1441781 1966065 2883562 3932130 4325343 7208905 8650686 10354609 14417810 20709218 21626715 31063827 43253430 51773045 62127654 103546090 113900699 155319135 227801398 310638270 341702097 569503495 683404194 1139006990 1708510485 3417020970