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3455939640 = 233519279777
BaseRepresentation
bin1100110111111101…
…0111010000111000
322220211221220221110
43031333113100320
524034210032030
61330532440320
7151433000526
oct31577272070
98824856843
103455939640
11151387366a
128054790a0
13430cb08ca
1424adad316
151536071b0
hexcdfd7438

3455939640 has 96 divisors (see below), whose sum is σ = 10942350480. Its totient is φ = 873068544.

The previous prime is 3455939629. The next prime is 3455939693. The reversal of 3455939640 is 469395543.

It is a self number, because there is not a number n which added to its sum of digits gives 3455939640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3432 + ... + 83208.

Almost surely, 23455939640 is an apocalyptic number.

3455939640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455939640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471175240).

3455939640 is an abundant number, since it is smaller than the sum of its proper divisors (7486410840).

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

3455939640 is a wasteful number, since it uses less digits than its factorization.

3455939640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79829 (or 79806 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The square root of 3455939640 is about 58787.2404523294. The cubic root of 3455939640 is about 1511.8964578742.

The spelling of 3455939640 in words is "three billion, four hundred fifty-five million, nine hundred thirty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 361 380 456 570 722 760 1083 1140 1444 1805 2166 2280 2888 3610 4332 5415 7220 8664 10830 14440 21660 43320 79777 159554 239331 319108 398885 478662 638216 797770 957324 1196655 1515763 1595540 1914648 2393310 3031526 3191080 4547289 4786620 6063052 7578815 9094578 9573240 12126104 15157630 18189156 22736445 28799497 30315260 36378312 45472890 57598994 60630520 86398491 90945780 115197988 143997485 172796982 181891560 230395976 287994970 345593964 431992455 575989940 691187928 863984910 1151979880 1727969820 3455939640