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3031023424 = 261113378951
BaseRepresentation
bin1011010010101001…
…1011111101000000
321211020101221110211
42310222123331000
522201420222144
61220433203504
7135053162662
oct26452337500
97736357424
103031023424
111315a2a840
12707100594
13393c572b0
1420a7a0532
1512b171034
hexb4a9bf40

3031023424 has 112 divisors (see below), whose sum is σ = 7257995136. Its totient is φ = 1237248000.

The previous prime is 3031023409. The next prime is 3031023487. The reversal of 3031023424 is 4243201303.

It is a happy number.

3031023424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3031023395 and 3031023404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334149 + ... + 343099.

It is an arithmetic number, because the mean of its divisors is an integer number (64803528).

Almost surely, 23031023424 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 3031023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628997568).

3031023424 is an abundant number, since it is smaller than the sum of its proper divisors (4226971712).

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

3031023424 is a wasteful number, since it uses less digits than its factorization.

3031023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9024 (or 9014 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3031023424 is about 55054.7311681748. The cubic root of 3031023424 is about 1447.2040332997.

Adding to 3031023424 its reverse (4243201303), we get a palindrome (7274224727).

The spelling of 3031023424 in words is "three billion, thirty-one million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 44 52 64 74 88 104 143 148 176 208 286 296 352 407 416 481 572 592 704 814 832 962 1144 1184 1628 1924 2288 2368 3256 3848 4576 5291 6512 7696 8951 9152 10582 13024 15392 17902 21164 26048 30784 35804 42328 71608 84656 98461 116363 143216 169312 196922 232726 286432 331187 338624 393844 465452 572864 662374 787688 930904 1279993 1324748 1575376 1861808 2559986 2649496 3150752 3643057 3723616 4305431 5119972 5298992 6301504 7286114 7447232 8610862 10239944 10597984 14572228 17221724 20479888 21195968 29144456 34443448 40959776 47359741 58288912 68886896 81919552 94719482 116577824 137773792 189438964 233155648 275547584 378877928 757755856 1515511712 3031023424