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3376920 = 2335107263
BaseRepresentation
bin1100111000011100011000
320100120021010
430320130120
51331030140
6200213520
740463151
oct14703430
96316233
103376920
1119a7148
12116a2a0
139130a1
1463c928
1546a880
hex338718

3376920 has 64 divisors (see below), whose sum is σ = 10264320. Its totient is φ = 888704.

The previous prime is 3376859. The next prime is 3376937. The reversal of 3376920 is 296733.

It is a happy number.

It is a super-2 number, since 2×33769202 = 22807177372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12709 + ... + 12971.

It is an arithmetic number, because the mean of its divisors is an integer number (160380).

Almost surely, 23376920 is an apocalyptic number.

3376920 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 3376920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132160).

3376920 is an abundant number, since it is smaller than the sum of its proper divisors (6887400).

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

3376920 is a wasteful number, since it uses less digits than its factorization.

3376920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 3376920 is about 1837.6397906010. The cubic root of 3376920 is about 150.0284390522.

The spelling of 3376920 in words is "three million, three hundred seventy-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 263 321 428 526 535 642 789 856 1052 1070 1284 1315 1578 1605 2104 2140 2568 2630 3156 3210 3945 4280 5260 6312 6420 7890 10520 12840 15780 28141 31560 56282 84423 112564 140705 168846 225128 281410 337692 422115 562820 675384 844230 1125640 1688460 3376920