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3431003240 = 2357175031433
BaseRepresentation
bin1100110010000000…
…1111010001101000
322212010001000122002
43030200033101220
524011314100430
61324242150132
7151011021620
oct31440172150
98763030562
103431003240
111500791575
127b9052348
13428a8c642
1424795b880
1515132d845
hexcc80f468

3431003240 has 128 divisors (see below), whose sum is σ = 9366658560. Its totient is φ = 1104175104.

The previous prime is 3431003231. The next prime is 3431003281. The reversal of 3431003240 is 423001343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2393564 + ... + 2394996.

It is an arithmetic number, because the mean of its divisors is an integer number (73177020).

Almost surely, 23431003240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683329280).

3431003240 is an abundant number, since it is smaller than the sum of its proper divisors (5935655320).

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

3431003240 is a wasteful number, since it uses less digits than its factorization.

3431003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3431003240 is about 58574.7662393970. The cubic root of 3431003240 is about 1508.2513037272.

Adding to 3431003240 its reverse (423001343), we get a palindrome (3854004583).

The spelling of 3431003240 in words is "three billion, four hundred thirty-one million, three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 503 595 680 952 1006 1190 1433 2012 2380 2515 2866 3521 4024 4760 5030 5732 7042 7165 8551 10031 10060 11464 14084 14330 17102 17605 20062 20120 24361 28168 28660 34204 35210 40124 42755 48722 50155 57320 59857 68408 70420 80248 85510 97444 100310 119714 121805 140840 170527 171020 194888 200620 239428 243610 299285 341054 342040 401240 478856 487220 598570 682108 720799 852635 974440 1197140 1364216 1441598 1705270 2394280 2883196 3410540 3603995 5045593 5766392 6821080 7207990 10091186 12253583 14415980 20182372 24507166 25227965 28831960 40364744 49014332 50455930 61267915 85775081 98028664 100911860 122535830 171550162 201823720 245071660 343100324 428875405 490143320 686200648 857750810 1715501620 3431003240