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3000232664 = 2311132673011
BaseRepresentation
bin1011001011010011…
…1110101011011000
321202002110121111022
42302310332223120
522121024421124
61213413222012
7134230362002
oct26264765330
97662417438
103000232664
1112aa60a230
126b8931908
1338a766400
14206667372
151285dcc5e
hexb2d3ead8

3000232664 has 96 divisors (see below), whose sum is σ = 6746639040. Its totient is φ = 1239638400.

The previous prime is 3000232637. The next prime is 3000232667. The reversal of 3000232664 is 4662320003.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000232667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 994919 + ... + 997929.

It is an arithmetic number, because the mean of its divisors is an integer number (70277490).

Almost surely, 23000232664 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 3000232664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373319520).

3000232664 is an abundant number, since it is smaller than the sum of its proper divisors (3746406376).

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

3000232664 is a wasteful number, since it uses less digits than its factorization.

3000232664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3000232664 is about 54774.3796313568. The cubic root of 3000232664 is about 1442.2868537385.

Adding to 3000232664 its reverse (4662320003), we get a palindrome (7662552667).

The spelling of 3000232664 in words is "three billion, two hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 67 88 104 134 143 169 268 286 338 536 572 676 737 871 1144 1352 1474 1742 1859 2948 3011 3484 3718 5896 6022 6968 7436 9581 11323 12044 14872 19162 22646 24088 33121 38324 39143 45292 66242 76648 78286 90584 124553 132484 156572 201737 249106 264968 313144 403474 430573 498212 508859 806948 861146 996424 1017718 1613896 1722292 2035436 2219107 2622581 3444584 4070872 4438214 5245162 5597449 8876428 10490324 11194898 17752856 20980648 22389796 28848391 34093553 44779592 57696782 68187106 115393564 136374212 230787128 272748424 375029083 750058166 1500116332 3000232664