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3404720 = 245115373
BaseRepresentation
bin1100111111001110110000
320101222101202
430333032300
51332422340
6200550332
740640204
oct14771660
96358352
103404720
111a16020
1211823a8
13922937
14648b04
15473c15
hex33f3b0

3404720 has 80 divisors (see below), whose sum is σ = 8919072. Its totient is φ = 1198080.

The previous prime is 3404719. The next prime is 3404729. The reversal of 3404720 is 274043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 3404692 and 3404701.

It is not an unprimeable number, because it can be changed into a prime (3404729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46604 + ... + 46676.

Almost surely, 23404720 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 3404720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459536).

3404720 is an abundant number, since it is smaller than the sum of its proper divisors (5514352).

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

3404720 is a wasteful number, since it uses less digits than its factorization.

3404720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 3404720 is about 1845.1883372708. The cubic root of 3404720 is about 150.4390101766.

3404720 divided by its sum of digits (20) gives a triangular number (170236 = T583).

Adding to 3404720 its reverse (274043), we get a palindrome (3678763).

The spelling of 3404720 in words is "three million, four hundred four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 73 80 88 106 110 146 176 212 220 265 292 365 424 440 530 583 584 730 803 848 880 1060 1166 1168 1460 1606 2120 2332 2915 2920 3212 3869 4015 4240 4664 5830 5840 6424 7738 8030 9328 11660 12848 15476 16060 19345 23320 30952 32120 38690 42559 46640 61904 64240 77380 85118 154760 170236 212795 309520 340472 425590 680944 851180 1702360 3404720