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6434927940 = 2235722188751
BaseRepresentation
bin1011111111000110…
…10011010101000100
3121121110110012122110
411333203103111010
5101134320143230
62542310501020
7315314661600
oct57743232504
917543405573
106434927940
112802392671
1212b7064770
137b721938c
144508a6500
15279dea4b0
hex17f8d3544

6434927940 has 72 divisors (see below), whose sum is σ = 20959489152. Its totient is φ = 1470840000.

The previous prime is 6434927921. The next prime is 6434927959. The reversal of 6434927940 is 497294346.

It is an interprime number because it is at equal distance from previous prime (6434927921) and next prime (6434927959).

It is a super-3 number, since 3×64349279403 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6434927940.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091436 + ... + 1097315.

It is an arithmetic number, because the mean of its divisors is an integer number (291104016).

Almost surely, 26434927940 is an apocalyptic number.

6434927940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6434927940 is an abundant number, since it is smaller than the sum of its proper divisors (14524561212).

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

6434927940 is a wasteful number, since it uses less digits than its factorization.

6434927940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188777 (or 2188768 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 6434927940 is about 80218.0025929342. The cubic root of 6434927940 is about 1860.0069314113.

The spelling of 6434927940 in words is "six billion, four hundred thirty-four million, nine hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 2188751 4377502 6566253 8755004 10943755 13132506 15321257 21887510 26265012 30642514 32831265 43775020 45963771 61285028 65662530 76606285 91927542 107248799 131325060 153212570 183855084 214497598 229818855 306425140 321746397 428995196 459637710 536243995 643492794 919275420 1072487990 1286985588 1608731985 2144975980 3217463970 6434927940