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3362240 = 26571979
BaseRepresentation
bin1100110100110111000000
320022211010102
430310313000
51330042430
6200021532
740402310
oct14646700
96284112
103362240
111997112
1211618a8
139094bb
14637440
15466345
hex334dc0

3362240 has 112 divisors (see below), whose sum is σ = 9753600. Its totient is φ = 1078272.

The previous prime is 3362237. The next prime is 3362251. The reversal of 3362240 is 422633.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33622402 = 22609315635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 38 + 311 + 62 + 215 + 221 + 410 + 0 .

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, 42521 + ... + 42599.

Almost surely, 23362240 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 3362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876800).

3362240 is an abundant number, since it is smaller than the sum of its proper divisors (6391360).

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

3362240 is a wasteful number, since it uses less digits than its factorization.

3362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3362240 is about 1833.6411862739. The cubic root of 3362240 is about 149.8107242280.

Adding to 3362240 its reverse (422633), we get a palindrome (3784873).

The spelling of 3362240 in words is "three million, three hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 79 80 95 112 133 140 152 158 160 190 224 266 280 304 316 320 380 395 448 532 553 560 608 632 665 760 790 1064 1106 1120 1216 1264 1330 1501 1520 1580 2128 2212 2240 2528 2660 2765 3002 3040 3160 4256 4424 5056 5320 5530 6004 6080 6320 7505 8512 8848 10507 10640 11060 12008 12640 15010 17696 21014 21280 22120 24016 25280 30020 35392 42028 42560 44240 48032 52535 60040 84056 88480 96064 105070 120080 168112 176960 210140 240160 336224 420280 480320 672448 840560 1681120 3362240