Search a number
-
+
2935349144 = 2371329257541
BaseRepresentation
bin1010111011110101…
…1101111110011000
321120120101012000222
42232331131332120
522002422133034
61203134415212
7132512025140
oct25675357630
97516335028
102935349144
111276a23292
1269b061508
1337a1996b0
141dbbb7920
15122a7312e
hexaef5df98

2935349144 has 128 divisors (see below), whose sum is σ = 7047734400. Its totient is φ = 1114767360.

The previous prime is 2935349129. The next prime is 2935349189. The reversal of 2935349144 is 4419435392.

It is a junction number, because it is equal to n+sod(n) for n = 2935349095 and 2935349104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5425514 + ... + 5426054.

It is an arithmetic number, because the mean of its divisors is an integer number (55060425).

Almost surely, 22935349144 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 2935349144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523867200).

2935349144 is an abundant number, since it is smaller than the sum of its proper divisors (4112385256).

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

2935349144 is a wasteful number, since it uses less digits than its factorization.

2935349144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its digits is 466560, while the sum is 44.

The square root of 2935349144 is about 54178.8625203594. The cubic root of 2935349144 is about 1431.8139472502.

The spelling of 2935349144 in words is "two billion, nine hundred thirty-five million, three hundred forty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 116 182 203 232 257 364 377 406 514 541 728 754 812 1028 1082 1508 1624 1799 2056 2164 2639 3016 3341 3598 3787 4328 5278 6682 7033 7196 7453 7574 10556 13364 14066 14392 14906 15148 15689 21112 23387 26728 28132 29812 30296 31378 46774 49231 52171 56264 59624 62756 93548 96889 98462 104342 109823 125512 139037 187096 193778 196924 203957 208684 219646 278074 387556 393848 407914 417368 439292 556148 678223 775112 815828 878584 973259 1112296 1356446 1427699 1631656 1807481 1946518 2712892 2855398 3614962 3893036 4032073 5425784 5710796 7229924 7786072 8064146 11421592 12652367 14459848 16128292 25304734 28224511 32256584 50609468 52416949 56449022 101218936 104833898 112898044 209667796 225796088 366918643 419335592 733837286 1467674572 2935349144