Search a number
-
+
303012001024 = 2819310695737
BaseRepresentation
bin1000110100011001110…
…11000011010100000000
31001222010102112112101121
410122030323003110000
514431032033013044
6351111330442024
730614630340415
oct4321473032400
91058112475347
10303012001024
11107563414247
124a886133314
132275cb55735
141094719010c
157d36d23984
hex468cec3500

303012001024 has 72 divisors (see below), whose sum is σ = 608649054440. Its totient is φ = 150553755648.

The previous prime is 303012001009. The next prime is 303012001031. The reversal of 303012001024 is 420100210303.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3321447424 + 299690553600 = 57632^2 + 547440^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 303012000989 and 303012001007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52814284 + ... + 52820020.

Almost surely, 2303012001024 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 303012001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304324527220).

303012001024 is an abundant number, since it is smaller than the sum of its proper divisors (305637053416).

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

303012001024 is a wasteful number, since it uses less digits than its factorization.

303012001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 303012001024 its reverse (420100210303), we get a palindrome (723112211327).

The spelling of 303012001024 in words is "three hundred three billion, twelve million, one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 772 1069 1544 2138 3088 4276 5737 6176 8552 11474 12352 17104 22948 24704 34208 45896 49408 68416 91792 136832 183584 206317 273664 367168 412634 734336 825268 1107241 1468672 1650536 2214482 3301072 4428964 6132853 6602144 8857928 12265706 13204288 17715856 24531412 26408576 35431712 49062824 52817152 70863424 98125648 141726848 196251296 283453696 392502592 785005184 1183640629 1570010368 2367281258 4734562516 9469125032 18938250064 37876500128 75753000256 151506000512 303012001024