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3380608 = 277411
BaseRepresentation
bin1100111001010110000000
320100202022201
430321112000
51331134413
6200242544
740510000
oct14712600
96322281
103380608
1119a99a0
121170454
1391497a
14640000
1546b9dd
hex339580

3380608 has 80 divisors (see below), whose sum is σ = 8571060. Its totient is φ = 1317120.

The previous prime is 3380599. The next prime is 3380623. The reversal of 3380608 is 8060833.

It is a super-2 number, since 2×33806082 = 22857020899328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 307323 + ... + 307333.

Almost surely, 23380608 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 3380608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285530).

3380608 is an abundant number, since it is smaller than the sum of its proper divisors (5190452).

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

3380608 is an frugal number, since it uses more digits than its factorization.

3380608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3380608 is about 1838.6429778508. The cubic root of 3380608 is about 150.0830355070.

The spelling of 3380608 in words is "three million, three hundred eighty thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 308 343 352 392 448 539 616 686 704 784 896 1078 1232 1372 1408 1568 2156 2401 2464 2744 3136 3773 4312 4802 4928 5488 6272 7546 8624 9604 9856 10976 15092 17248 19208 21952 26411 30184 34496 38416 43904 52822 60368 68992 76832 105644 120736 153664 211288 241472 307328 422576 482944 845152 1690304 3380608