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3004115352 = 2337149120011
BaseRepresentation
bin1011001100001111…
…0010100110011000
321202100202212112120
42303003302212120
522123023142402
61214032341240
7134305362540
oct26303624630
97670685476
103004115352
111301821367
126ba0a4820
1338b4c5764
14206d98320
15128b083bc
hexb30f2998

3004115352 has 64 divisors (see below), whose sum is σ = 8640864000. Its totient is φ = 852551040.

The previous prime is 3004115351. The next prime is 3004115377. The reversal of 3004115352 is 2535114003.

It is a super-3 number, since 3×30041153523 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004115351) 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, 34974 + ... + 85037.

It is an arithmetic number, because the mean of its divisors is an integer number (135013500).

Almost surely, 23004115352 is an apocalyptic number.

It is an amenable number.

3004115352 is an abundant number, since it is smaller than the sum of its proper divisors (5636748648).

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

3004115352 is a wasteful number, since it uses less digits than its factorization.

3004115352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120176 (or 120172 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 3004115352 is about 54809.8107276425. The cubic root of 3004115352 is about 1442.9087539416.

Adding to 3004115352 its reverse (2535114003), we get a palindrome (5539229355).

The spelling of 3004115352 in words is "three billion, four million, one hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 596 894 1043 1192 1788 2086 3129 3576 4172 6258 8344 12516 25032 120011 240022 360033 480044 720066 840077 960088 1440132 1680154 2520231 2880264 3360308 5040462 6720616 10080924 17881639 20161848 35763278 53644917 71526556 107289834 125171473 143053112 214579668 250342946 375514419 429159336 500685892 751028838 1001371784 1502057676 3004115352