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33430740 = 22357283137
BaseRepresentation
bin111111110000…
…1110011010100
32022220110100120
41333201303110
532024240430
63152311540
7554104500
oct177416324
968813316
1033430740
1117964012
12b2425b0
136c06705
144623300
152e05610
hex1fe1cd4

33430740 has 144 divisors (see below), whose sum is σ = 111004992. Its totient is φ = 7494144.

The previous prime is 33430739. The next prime is 33430769. The reversal of 33430740 is 4703433.

It is a super-2 number, since 2×334307402 = 2235228753895200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33430740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243952 + ... + 244088.

It is an arithmetic number, because the mean of its divisors is an integer number (770868).

Almost surely, 233430740 is an apocalyptic number.

33430740 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 33430740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55502496).

33430740 is an abundant number, since it is smaller than the sum of its proper divisors (77574252).

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

33430740 is a wasteful number, since it uses less digits than its factorization.

33430740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 33430740 is about 5781.9322029924. The cubic root of 33430740 is about 322.1429736848.

The spelling of 33430740 in words is "thirty-three million, four hundred thirty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 83 84 98 105 137 140 147 166 196 210 245 249 274 294 332 411 415 420 490 498 548 581 588 685 735 822 830 959 980 996 1162 1245 1370 1470 1644 1660 1743 1918 2055 2324 2490 2740 2877 2905 2940 3486 3836 4067 4110 4795 4980 5754 5810 6713 6972 8134 8220 8715 9590 11371 11508 11620 12201 13426 14385 16268 17430 19180 20139 20335 22742 24402 26852 28770 33565 34113 34860 40278 40670 45484 48804 56855 57540 61005 67130 68226 79597 80556 81340 100695 113710 122010 134260 136452 159194 170565 201390 227420 238791 244020 318388 341130 397985 402780 477582 557179 682260 795970 955164 1114358 1193955 1591940 1671537 2228716 2387910 2785895 3343074 4775820 5571790 6686148 8357685 11143580 16715370 33430740