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3712051434 = 2371359139829
BaseRepresentation
bin1101110101000001…
…0110100011101010
3100120200212202021110
43131100112203222
530100241121214
61412202051150
7160662626250
oct33520264352
910520782243
103712051434
1116353a1203
128771a9ab6
13472083150
14272dda5d0
1516ad47159
hexdd4168ea

3712051434 has 128 divisors (see below), whose sum is σ = 9370368000. Its totient is φ = 954332928.

The previous prime is 3712051433. The next prime is 3712051457. The reversal of 3712051434 is 4341502173.

3712051434 = 168922 + 168932 + ... + 169042.

It is a happy number.

3712051434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37120514342 = 27558651697322912712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3712051433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4477332 + ... + 4478160.

It is an arithmetic number, because the mean of its divisors is an integer number (73206000).

Almost surely, 23712051434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3712051434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685184000).

3712051434 is an abundant number, since it is smaller than the sum of its proper divisors (5658316566).

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

3712051434 is a wasteful number, since it uses less digits than its factorization.

3712051434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3712051434 is about 60926.6069463908. The cubic root of 3712051434 is about 1548.3578076071.

The spelling of 3712051434 in words is "three billion, seven hundred twelve million, fifty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 59 78 91 118 139 177 182 273 278 354 413 417 546 767 826 829 834 973 1239 1534 1658 1807 1946 2301 2478 2487 2919 3614 4602 4974 5369 5421 5803 5838 8201 10738 10777 10842 11606 12649 16107 16402 17409 21554 24603 25298 32214 32331 34818 37947 48911 49206 57407 64662 75439 75894 97822 106613 114814 115231 146733 150878 172221 213226 226317 230462 293466 319839 342377 344442 345693 452634 635843 639678 684754 691386 746291 806617 1027131 1271686 1492582 1498003 1613234 1907529 2054262 2238873 2419851 2996006 3815058 4450901 4477746 4494009 4839702 6798629 8901802 8988018 10486021 13352703 13597258 20395887 20972042 26705406 31458063 40791774 47590403 62916126 88382177 95180806 142771209 176764354 265146531 285542418 530293062 618675239 1237350478 1856025717 3712051434