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3405062320 = 2451131124819
BaseRepresentation
bin1100101011110101…
…0010000010110000
322210022020002101021
43022331102002300
523433143443240
61321514145224
7150244360252
oct31275220260
98708202337
103405062320
1114980837a0
127b0422214
134235a909a
14244327cd2
1514de0754a
hexcaf520b0

3405062320 has 80 divisors (see below), whose sum is σ = 8915143680. Its totient is φ = 1198252800.

The previous prime is 3405062299. The next prime is 3405062321. The reversal of 3405062320 is 232605043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3405062321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35130 + ... + 89689.

It is an arithmetic number, because the mean of its divisors is an integer number (111439296).

Almost surely, 23405062320 is an apocalyptic number.

It is an amenable number.

3405062320 is an abundant number, since it is smaller than the sum of its proper divisors (5510081360).

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

3405062320 is a wasteful number, since it uses less digits than its factorization.

3405062320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124874 (or 124868 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 3405062320 is about 58352.9118382279. The cubic root of 3405062320 is about 1504.4405185951.

Adding to 3405062320 its reverse (232605043), we get a palindrome (3637667363).

The spelling of 3405062320 in words is "three billion, four hundred five million, sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 6820 13640 27280 124819 249638 499276 624095 998552 1248190 1373009 1997104 2496380 2746018 3869389 4992760 5492036 6865045 7738778 9985520 10984072 13730090 15477556 19346945 21968144 27460180 30955112 38693890 42563279 54920360 61910224 77387780 85126558 109840720 154775560 170253116 212816395 309551120 340506232 425632790 681012464 851265580 1702531160 3405062320