Search a number
-
+
3714241700 = 22521329831187
BaseRepresentation
bin1101110101100010…
…1101010010100100
3100120212000000202102
43131120231102210
530101321213300
61412321031232
7161020351001
oct33530552244
910525000672
103714241700
111636657844
12877a85518
1347266c070
1427340a8a8
1516b12b0d5
hexdd62d4a4

3714241700 has 144 divisors (see below), whose sum is σ = 9095042880. Its totient is φ = 1307066880.

The previous prime is 3714241621. The next prime is 3714241709. The reversal of 3714241700 is 71424173.

3714241700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (3714241709) 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, 3128507 + ... + 3129693.

It is an arithmetic number, because the mean of its divisors is an integer number (63160020).

Almost surely, 23714241700 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 3714241700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547521440).

3714241700 is an abundant number, since it is smaller than the sum of its proper divisors (5380801180).

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

3714241700 is a wasteful number, since it uses less digits than its factorization.

3714241700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 3714241700 is about 60944.5789221650. The cubic root of 3714241700 is about 1548.6622797419.

Adding to 3714241700 its reverse (71424173), we get a palindrome (3785665873).

The spelling of 3714241700 in words is "three billion, seven hundred fourteen million, two hundred forty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 83 100 116 130 145 166 260 290 325 332 377 415 580 650 725 754 830 1079 1187 1300 1450 1508 1660 1885 2075 2158 2374 2407 2900 3770 4150 4316 4748 4814 5395 5935 7540 8300 9425 9628 10790 11870 12035 15431 18850 21580 23740 24070 26975 29675 30862 31291 34423 37700 48140 53950 59350 60175 61724 62582 68846 77155 98521 107900 118700 120350 125164 137692 154310 156455 172115 197042 240700 308620 312910 344230 385775 394084 447499 492605 625820 688460 771550 782275 860575 894998 985210 1280773 1543100 1564550 1721150 1789996 1970420 2237495 2463025 2561546 2857109 3129100 3442300 4474990 4926050 5123092 5714218 6403865 8949980 9852100 11187475 11428436 12807730 14285545 22374950 25615460 28571090 32019325 37142417 44749900 57142180 64038650 71427725 74284834 128077300 142855450 148569668 185712085 285710900 371424170 742848340 928560425 1857120850 3714241700