Search a number
-
+
3324001044 = 2237213974483
BaseRepresentation
bin1100011000100000…
…0011101100010100
322120122200202012210
43012020003230110
523301421013134
61305500513420
7145241354100
oct30610035424
98518622183
103324001044
111456348201
1278924b870
1340c866930
14237666900
15146c442e9
hexc6203b14

3324001044 has 144 divisors (see below), whose sum is σ = 9818668608. Its totient is φ = 867428352.

The previous prime is 3324001027. The next prime is 3324001049. The reversal of 3324001044 is 4401004233.

It is a super-2 number, since 2×33240010442 = 22097965881026179872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3324001044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324001049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739227 + ... + 743709.

Almost surely, 23324001044 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 3324001044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909334304).

3324001044 is an abundant number, since it is smaller than the sum of its proper divisors (6494667564).

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

3324001044 is a wasteful number, since it uses less digits than its factorization.

3324001044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3324001044 is about 57654.1502755873. The cubic root of 3324001044 is about 1492.4062203252.

Adding to 3324001044 its reverse (4401004233), we get a palindrome (7725005277).

The spelling of 3324001044 in words is "three billion, three hundred twenty-four million, one thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 97 98 147 156 182 194 196 273 291 294 364 388 546 582 588 637 679 1092 1164 1261 1274 1358 1911 2037 2522 2548 2716 3783 3822 4074 4483 4753 5044 7566 7644 8148 8827 8966 9506 13449 14259 15132 17654 17932 19012 26481 26898 28518 31381 35308 52962 53796 57036 58279 61789 62762 94143 105924 116558 123578 125524 174837 185367 188286 219667 233116 247156 349674 370734 376572 407953 434851 439334 659001 699348 741468 815906 869702 878668 1223859 1304553 1318002 1631812 1739404 2447718 2609106 2636004 2855671 3043957 4895436 5218212 5653063 5711342 6087914 8567013 9131871 11306126 11422684 12175828 16959189 17134026 18263742 21307699 22612252 33918378 34268052 36527484 39571441 42615398 63923097 67836756 79142882 85230796 118714323 127846194 158285764 237428646 255692388 277000087 474857292 554000174 831000261 1108000348 1662000522 3324001044