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3328380 = 2232511412
BaseRepresentation
bin1100101100100101111100
320021002200100
430230211330
51323002010
6155201100
740201506
oct14544574
96232610
103328380
111973730
121146190
138c6c73
14628d76
1545b2c0
hex32c97c

3328380 has 108 divisors (see below), whose sum is σ = 11289096. Its totient is φ = 787200.

The previous prime is 3328373. The next prime is 3328387. The reversal of 3328380 is 838233.

It is an interprime number because it is at equal distance from previous prime (3328373) and next prime (3328387).

It is a super-2 number, since 2×33283802 = 22156226848800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328387) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81160 + ... + 81200.

Almost surely, 23328380 is an apocalyptic number.

3328380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3328380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644548).

3328380 is an abundant number, since it is smaller than the sum of its proper divisors (7960716).

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

3328380 is a wasteful number, since it uses less digits than its factorization.

3328380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3328380 is about 1824.3848278255. The cubic root of 3328380 is about 149.3061285654.

The spelling of 3328380 in words is "three million, three hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1681 1804 1845 1980 2255 2460 2706 3362 3690 4059 4510 5043 5412 6724 6765 7380 8118 8405 9020 10086 13530 15129 16236 16810 18491 20172 20295 25215 27060 30258 33620 36982 40590 50430 55473 60516 73964 75645 81180 92455 100860 110946 151290 166419 184910 221892 277365 302580 332838 369820 554730 665676 832095 1109460 1664190 3328380