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3395376 = 2432171973
BaseRepresentation
bin1100111100111100110000
320101111120200
430330330300
51332123001
6200435200
740601025
oct14747460
96344520
103395376
111a09aa6
121178b00
1391b5ca
1464554c
15471086
hex33cf30

3395376 has 120 divisors (see below), whose sum is σ = 10735920. Its totient is φ = 995328.

The previous prime is 3395369. The next prime is 3395417. The reversal of 3395376 is 6735933.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3395376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46476 + ... + 46548.

It is an arithmetic number, because the mean of its divisors is an integer number (89466).

Almost surely, 23395376 is an apocalyptic number.

3395376 is a gapful number since it is divisible by the number (36) 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 3395376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367960).

3395376 is an abundant number, since it is smaller than the sum of its proper divisors (7340544).

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

3395376 is a wasteful number, since it uses less digits than its factorization.

3395376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 114 counting only the distinct ones).

The product of its digits is 51030, while the sum is 36.

The square root of 3395376 is about 1842.6546068105. The cubic root of 3395376 is about 150.3012612062.

The spelling of 3395376 in words is "three million, three hundred ninety-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 73 76 102 114 136 144 146 152 153 171 204 219 228 272 292 304 306 323 342 408 438 456 584 612 646 657 684 816 876 912 969 1168 1224 1241 1292 1314 1368 1387 1752 1938 2448 2482 2584 2628 2736 2774 2907 3504 3723 3876 4161 4964 5168 5256 5548 5814 7446 7752 8322 9928 10512 11096 11169 11628 12483 14892 15504 16644 19856 22192 22338 23256 23579 24966 29784 33288 44676 46512 47158 49932 59568 66576 70737 89352 94316 99864 141474 178704 188632 199728 212211 282948 377264 424422 565896 848844 1131792 1697688 3395376