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3394248 = 23311132343
BaseRepresentation
bin1100111100101011001000
320101110000220
430330223020
51332103443
6200430040
740564524
oct14745310
96343026
103394248
111a09170
121178320
1391ac40
14644d84
15470a83
hex33cac8

3394248 has 128 divisors (see below), whose sum is σ = 10644480. Its totient is φ = 887040.

The previous prime is 3394231. The next prime is 3394277. The reversal of 3394248 is 8424933.

3394248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78915 + ... + 78957.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

Almost surely, 23394248 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 3394248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240).

3394248 is an abundant number, since it is smaller than the sum of its proper divisors (7250232).

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

3394248 is a wasteful number, since it uses less digits than its factorization.

3394248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3394248 is about 1842.3485012342. The cubic root of 3394248 is about 150.2846151753.

The spelling of 3394248 in words is "three million, three hundred ninety-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 23 24 26 33 39 43 44 46 52 66 69 78 86 88 92 104 129 132 138 143 156 172 184 253 258 264 276 286 299 312 344 429 473 506 516 552 559 572 598 759 858 897 946 989 1012 1032 1118 1144 1196 1419 1518 1677 1716 1794 1892 1978 2024 2236 2392 2838 2967 3036 3289 3354 3432 3588 3784 3956 4472 5676 5934 6072 6149 6578 6708 7176 7912 9867 10879 11352 11868 12298 12857 13156 13416 18447 19734 21758 23736 24596 25714 26312 32637 36894 38571 39468 43516 49192 51428 65274 73788 77142 78936 87032 102856 130548 141427 147576 154284 261096 282854 308568 424281 565708 848562 1131416 1697124 3394248