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3398080 = 26573741
BaseRepresentation
bin1100111101100111000000
320101122021211
430331213000
51332214310
6200455504
740611640
oct14754700
96348254
103398080
111a11034
12117a594
1391c8ca
14646520
15471c8a
hex33d9c0

3398080 has 112 divisors (see below), whose sum is σ = 9729216. Its totient is φ = 1105920.

The previous prime is 3398063. The next prime is 3398099. The reversal of 3398080 is 808933.

3398080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82860 + ... + 82900.

It is an arithmetic number, because the mean of its divisors is an integer number (86868).

Almost surely, 23398080 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 3398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864608).

3398080 is an abundant number, since it is smaller than the sum of its proper divisors (6331136).

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

3398080 is a wasteful number, since it uses less digits than its factorization.

3398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 3398080 is about 1843.3881848379. The cubic root of 3398080 is about 150.3411494514.

The spelling of 3398080 in words is "three million, three hundred ninety-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 41 56 64 70 74 80 82 112 140 148 160 164 185 205 224 259 280 287 296 320 328 370 410 448 518 560 574 592 656 740 820 1036 1120 1148 1184 1295 1312 1435 1480 1517 1640 2072 2240 2296 2368 2590 2624 2870 2960 3034 3280 4144 4592 5180 5740 5920 6068 6560 7585 8288 9184 10360 10619 11480 11840 12136 13120 15170 16576 18368 20720 21238 22960 24272 30340 41440 42476 45920 48544 53095 60680 82880 84952 91840 97088 106190 121360 169904 212380 242720 339808 424760 485440 679616 849520 1699040 3398080