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3973435284 = 22372131274093
BaseRepresentation
bin1110110011010101…
…1100111110010100
3101020220201102111210
43230311130332110
531114144412114
61454140301420
7200315433300
oct35465347624
911226642453
103973435284
11175999a815
1292a841870
134b4280250
142999dad00
15183c79259
hexecd5cf94

3973435284 has 144 divisors (see below), whose sum is σ = 11708971008. Its totient is φ = 1039433472.

The previous prime is 3973435283. The next prime is 3973435289. The reversal of 3973435284 is 4825343793.

It is a super-2 number, since 2×39734352842 = 31576375912272321312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973435283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968742 + ... + 972834.

Almost surely, 23973435284 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 3973435284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854485504).

3973435284 is an abundant number, since it is smaller than the sum of its proper divisors (7735535724).

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

3973435284 is a wasteful number, since it uses less digits than its factorization.

3973435284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4245 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 3973435284 is about 63035.1908381342. The cubic root of 3973435284 is about 1583.8791724359.

The spelling of 3973435284 in words is "three billion, nine hundred seventy-three million, four hundred thirty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 127 147 156 182 196 254 273 294 364 381 508 546 588 637 762 889 1092 1274 1524 1651 1778 1911 2548 2667 3302 3556 3822 4093 4953 5334 6223 6604 7644 8186 9906 10668 11557 12279 12446 16372 18669 19812 23114 24558 24892 28651 34671 37338 46228 49116 53209 57302 69342 74676 80899 85953 106418 114604 138684 159627 161798 171906 200557 212836 242697 319254 323596 343812 372463 401114 485394 519811 601671 638508 744926 802228 970788 1039622 1117389 1203342 1489852 1559433 2079244 2234778 2406684 2607241 3118866 3638677 4469556 5214482 6237732 6757543 7277354 7821723 10428964 10916031 13515086 14554708 15643446 20272629 21832062 25470739 27030172 31286892 40545258 43664124 47302801 50941478 76412217 81090516 94605602 101882956 141908403 152824434 189211204 283816806 305648868 331119607 567633612 662239214 993358821 1324478428 1986717642 3973435284