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3031401204 = 22321329401557
BaseRepresentation
bin1011010010101111…
…1000001011110100
321211021010010200200
42310223320023310
522202014314304
61220445240500
7135056325246
oct26453701364
97737103620
103031401204
111316168657
12707263130
1339405a230
1420a85c096
1512b1e7e39
hexb4af82f4

3031401204 has 144 divisors (see below), whose sum is σ = 8573357520. Its totient is φ = 896716800.

The previous prime is 3031401199. The next prime is 3031401211. The reversal of 3031401204 is 4021041303.

3031401204 is a `hidden beast` number, since 30 + 31 + 401 + 204 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20684304 + 3010716900 = 4548^2 + 54870^2 .

It is a super-2 number, since 2×30314012042 = 18378786519225299232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5442094 + ... + 5442650.

It is an arithmetic number, because the mean of its divisors is an integer number (59537205).

Almost surely, 23031401204 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 3031401204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286678760).

3031401204 is an abundant number, since it is smaller than the sum of its proper divisors (5541956316).

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

3031401204 is a wasteful number, since it uses less digits than its factorization.

3031401204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3031401204 is about 55058.1620107319. The cubic root of 3031401204 is about 1447.2641562296.

Adding to 3031401204 its reverse (4021041303), we get a palindrome (7052442507).

The spelling of 3031401204 in words is "three billion, thirty-one million, four hundred one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 401 468 522 557 754 802 1044 1114 1131 1203 1508 1604 1671 2228 2262 2406 3342 3393 3609 4524 4812 5013 5213 6684 6786 7218 7241 10026 10426 11629 13572 14436 14482 15639 16153 20052 20852 21723 23258 28964 31278 32306 34887 43446 46516 46917 48459 62556 64612 65169 69774 86892 93834 96918 104661 130338 139548 145377 151177 187668 193836 209322 209989 223357 260676 290754 302354 418644 419978 446714 453531 581508 604708 629967 670071 839956 893428 907062 1259934 1340142 1360593 1814124 1889901 2010213 2519868 2680284 2721186 2903641 3779802 4020426 5442372 5807282 6477353 7559604 8040852 8710923 11614564 12954706 17421846 19432059 25909412 26132769 34843692 38864118 52265538 58296177 77728236 84205589 104531076 116592354 168411178 233184708 252616767 336822356 505233534 757850301 1010467068 1515700602 3031401204