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3023130420 = 2232548734487
BaseRepresentation
bin1011010000110001…
…0100111100110100
321210200112221022100
42310030110330310
522142410133140
61215552102100
7134626120212
oct26414247464
97720487270
103023130420
1113115296a2
12704534930
1339242278b
14209707cb2
1512a612530
hexb4314f34

3023130420 has 72 divisors (see below), whose sum is σ = 9189258624. Its totient is φ = 804489408.

The previous prime is 3023130401. The next prime is 3023130457. The reversal of 3023130420 is 240313203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3023130393 and 3023130402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70417 + ... + 104903.

It is an arithmetic number, because the mean of its divisors is an integer number (127628592).

Almost surely, 23023130420 is an apocalyptic number.

3023130420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594629312).

3023130420 is an abundant number, since it is smaller than the sum of its proper divisors (6166128204).

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

3023130420 is a wasteful number, since it uses less digits than its factorization.

3023130420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34989 (or 34984 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3023130420 is about 54983.0011912773. The cubic root of 3023130420 is about 1445.9467333443.

Adding to 3023130420 its reverse (240313203), we get a palindrome (3263443623).

The spelling of 3023130420 in words is "three billion, twenty-three million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 487 974 1461 1948 2435 2922 4383 4870 5844 7305 8766 9740 14610 17532 21915 29220 34487 43830 68974 87660 103461 137948 172435 206922 310383 344870 413844 517305 620766 689740 1034610 1241532 1551915 2069220 3103830 6207660 16795169 33590338 50385507 67180676 83975845 100771014 151156521 167951690 201542028 251927535 302313042 335903380 503855070 604626084 755782605 1007710140 1511565210 3023130420