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3378930 = 235235983
BaseRepresentation
bin1100111000111011110010
320100200000120
430320323302
51331111210
6200231110
740502052
oct14707362
96320016
103378930
1119a8705
12116b496
13913c89
1463d562
1546b270
hex338ef2

3378930 has 64 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 837056.

The previous prime is 3378929. The next prime is 3378931. The reversal of 3378930 is 398733.

It is an interprime number because it is at equal distance from previous prime (3378929) and next prime (3378931).

It is a super-2 number, since 2×33789302 = 22834335889800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3378891 and 3378900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40669 + ... + 40751.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 23378930 is an apocalyptic number.

3378930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3378930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3378930 is an abundant number, since it is smaller than the sum of its proper divisors (5330190).

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

3378930 is a wasteful number, since it uses less digits than its factorization.

3378930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3378930 is about 1838.1866064140. The cubic root of 3378930 is about 150.0581996380.

The spelling of 3378930 in words is "three million, three hundred seventy-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 69 83 115 118 138 166 177 230 249 295 345 354 415 498 590 690 830 885 1245 1357 1770 1909 2490 2714 3818 4071 4897 5727 6785 8142 9545 9794 11454 13570 14691 19090 20355 24485 28635 29382 40710 48970 57270 73455 112631 146910 225262 337893 563155 675786 1126310 1689465 3378930