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3409719808 = 29115311423
BaseRepresentation
bin1100101100111100…
…0011001000000000
322210121222201020211
43023033003020000
523440342013213
61322202043504
7150332066035
oct31317031000
98717881224
103409719808
11149a774a60
127b1aa9594
13424549cb1
14244bbb38c
1514e52753d
hexcb3c3200

3409719808 has 80 divisors (see below), whose sum is σ = 7573015296. Its totient is φ = 1520496640.

The previous prime is 3409719779. The next prime is 3409719809. The reversal of 3409719808 is 8089179043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3409719809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292785 + ... + 304207.

Almost surely, 23409719808 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 3409719808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786507648).

3409719808 is an abundant number, since it is smaller than the sum of its proper divisors (4163295488).

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

3409719808 is a wasteful number, since it uses less digits than its factorization.

3409719808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11505 (or 11489 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 3409719808 is about 58392.8061322626. The cubic root of 3409719808 is about 1505.1261371157.

The spelling of 3409719808 in words is "three billion, four hundred nine million, seven hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 256 352 424 512 583 704 848 1166 1408 1696 2332 2816 3392 4664 5632 6784 9328 11423 13568 18656 22846 27136 37312 45692 74624 91384 125653 149248 182768 251306 298496 365536 502612 605419 731072 1005224 1210838 1462144 2010448 2421676 2924288 4020896 4843352 5848576 6659609 8041792 9686704 13319218 16083584 19373408 26638436 32167168 38746816 53276872 64334336 77493632 106553744 154987264 213107488 309974528 426214976 852429952 1704859904 3409719808