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3390912 = 26327292
BaseRepresentation
bin1100111011110111000000
320101021110100
430323313000
51332002122
6200402400
740552020
oct14736700
96337410
103390912
111a06708
121176400
13919575
14643a80
1546eaac
hex33bdc0

3390912 has 126 divisors (see below), whose sum is σ = 11504168. Its totient is φ = 935424.

The previous prime is 3390901. The next prime is 3390931. The reversal of 3390912 is 2190933.

3390912 = T293 + T294 + ... + T356.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×33909122 = 22996568383488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116914 + ... + 116942.

Almost surely, 23390912 is an apocalyptic number.

3390912 is a gapful number since it is divisible by the number (32) 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 3390912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752084).

3390912 is an abundant number, since it is smaller than the sum of its proper divisors (8113256).

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

3390912 is a wasteful number, since it uses less digits than its factorization.

3390912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3390912 is about 1841.4429125010. The cubic root of 3390912 is about 150.2353638326.

The spelling of 3390912 in words is "three million, three hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 64 72 84 87 96 112 116 126 144 168 174 192 203 224 232 252 261 288 336 348 406 448 464 504 522 576 609 672 696 812 841 928 1008 1044 1218 1344 1392 1624 1682 1827 1856 2016 2088 2436 2523 2784 3248 3364 3654 4032 4176 4872 5046 5568 5887 6496 6728 7308 7569 8352 9744 10092 11774 12992 13456 14616 15138 16704 17661 19488 20184 23548 26912 29232 30276 35322 38976 40368 47096 52983 53824 58464 60552 70644 80736 94192 105966 116928 121104 141288 161472 188384 211932 242208 282576 376768 423864 484416 565152 847728 1130304 1695456 3390912