Search a number
-
+
3004335052312 = 2311239471567429
BaseRepresentation
bin101011101110000000010…
…100101101011000011000
3101122012201021102202021011
4223232000110231120120
5343210334233133222
610220101130423304
7430025136410416
oct53560024553030
911565637382234
103004335052312
11a591498a5740
12406315891b34
1318a3cc9a2c09
14a55a69462b6
155323a0edc77
hex2bb8052d618

3004335052312 has 64 divisors (see below), whose sum is σ = 6419190124800. Its totient is φ = 1304852461440.

The previous prime is 3004335052261. The next prime is 3004335052319. The reversal of 3004335052312 is 2132505334003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004335052319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1133014 + ... + 2700442.

It is an arithmetic number, because the mean of its divisors is an integer number (100299845700).

Almost surely, 23004335052312 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 3004335052312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209595062400).

3004335052312 is an abundant number, since it is smaller than the sum of its proper divisors (3414855072488).

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

3004335052312 is a wasteful number, since it uses less digits than its factorization.

3004335052312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568416 (or 1568412 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 31.

The spelling of 3004335052312 in words is "three trillion, four billion, three hundred thirty-five million, fifty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 947 1012 1894 2024 3788 7576 10417 20834 21781 41668 43562 83336 87124 174248 239591 479182 958364 1567429 1916728 3134858 6269716 12539432 17241719 34483438 36050867 68966876 72101734 137933752 144203468 288406936 396559537 793119074 1484355263 1586238148 2968710526 3172476296 5937421052 11874842104 16327907893 32655815786 34140171049 65311631572 68280342098 130623263144 136560684196 273121368392 375541881539 751083763078 1502167526156 3004335052312