Search a number
-
+
33670740 = 22352937523
BaseRepresentation
bin1000000001110…
…0011001010100
32100100122120110
42000130121110
532104430430
63201403020
7556124265
oct200343124
970318513
1033670740
1118008364
12b339470
136c8ba1c
14468696c
152e517b0
hex201c654

33670740 has 96 divisors (see below), whose sum is σ = 100356480. Its totient is φ = 8418816.

The previous prime is 33670733. The next prime is 33670751. The reversal of 33670740 is 4707633.

It is a super-2 number, since 2×336707402 = 2267437464295200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33670698 and 33670707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64119 + ... + 64641.

It is an arithmetic number, because the mean of its divisors is an integer number (1045380).

Almost surely, 233670740 is an apocalyptic number.

33670740 is a gapful number since it is divisible by the number (30) 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 33670740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50178240).

33670740 is an abundant number, since it is smaller than the sum of its proper divisors (66685740).

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

33670740 is a wasteful number, since it uses less digits than its factorization.

33670740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 33670740 is about 5802.6493948885. The cubic root of 33670740 is about 322.9120267017.

The spelling of 33670740 in words is "thirty-three million, six hundred seventy thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 37 58 60 74 87 111 116 145 148 174 185 222 290 348 370 435 444 523 555 580 740 870 1046 1073 1110 1569 1740 2092 2146 2220 2615 3138 3219 4292 5230 5365 6276 6438 7845 10460 10730 12876 15167 15690 16095 19351 21460 30334 31380 32190 38702 45501 58053 60668 64380 75835 77404 91002 96755 116106 151670 182004 193510 227505 232212 290265 303340 387020 455010 561179 580530 910020 1122358 1161060 1683537 2244716 2805895 3367074 5611790 6734148 8417685 11223580 16835370 33670740