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3369780 = 2232597193
BaseRepresentation
bin1100110110101100110100
320100012110200
430312230310
51330313110
6200120500
740433301
oct14665464
96305420
103369780
1119a1847
121166130
1390ca6b
1463a0a8
154686c0
hex336b34

3369780 has 72 divisors (see below), whose sum is σ = 10380552. Its totient is φ = 884736.

The previous prime is 3369767. The next prime is 3369787. The reversal of 3369780 is 879633.

It can be written as a sum of positive squares in 4 ways, for example, as 86436 + 3283344 = 294^2 + 1812^2 .

It is a super-2 number, since 2×33697802 = 22710834496800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3369787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17364 + ... + 17556.

Almost surely, 23369780 is an apocalyptic number.

3369780 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 3369780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190276).

3369780 is an abundant number, since it is smaller than the sum of its proper divisors (7010772).

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

3369780 is a wasteful number, since it uses less digits than its factorization.

3369780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3369780 is about 1835.6960532724. The cubic root of 3369780 is about 149.9226267627.

The spelling of 3369780 in words is "three million, three hundred sixty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 193 194 291 386 388 485 579 582 772 873 965 970 1158 1164 1455 1737 1746 1930 1940 2316 2895 2910 3474 3492 3860 4365 5790 5820 6948 8685 8730 11580 17370 17460 18721 34740 37442 56163 74884 93605 112326 168489 187210 224652 280815 336978 374420 561630 673956 842445 1123260 1684890 3369780