Search a number
-
+
3356920 = 235719631
BaseRepresentation
bin1100110011100011111000
320022112211101
430303203320
51324410140
6155541144
740350640
oct14634370
96275741
103356920
111993116
12115a7b4
13906c58
14635520
1546499a
hex3338f8

3356920 has 64 divisors (see below), whose sum is σ = 9100800. Its totient is φ = 1088640.

The previous prime is 3356893. The next prime is 3356921. The reversal of 3356920 is 296533.

It is a super-2 number, since 2×33569202 = 22537823772800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3356921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5005 + ... + 5635.

It is an arithmetic number, because the mean of its divisors is an integer number (142200).

Almost surely, 23356920 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 3356920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4550400).

3356920 is an abundant number, since it is smaller than the sum of its proper divisors (5743880).

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

3356920 is a wasteful number, since it uses less digits than its factorization.

3356920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 3356920 is about 1832.1899464848. The cubic root of 3356920 is about 149.7316684221.

It can be divided in two parts, 33 and 56920, that added together give a triangular number (56953 = T337).

The spelling of 3356920 in words is "three million, three hundred fifty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 631 665 760 1064 1262 1330 2524 2660 3155 4417 5048 5320 6310 8834 11989 12620 17668 22085 23978 25240 35336 44170 47956 59945 83923 88340 95912 119890 167846 176680 239780 335692 419615 479560 671384 839230 1678460 3356920