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3023475400 = 23521121011237
BaseRepresentation
bin1011010000110110…
…1001001011001000
321210201012110112101
42310031221023020
522143002203100
61220003323144
7134632055041
oct26415511310
97721173471
103023475400
111311744900
127046804b4
133925137ca
142097978c8
1512a67e86a
hexb43692c8

3023475400 has 144 divisors (see below), whose sum is σ = 7809539220. Its totient is φ = 1087680000.

The previous prime is 3023475397. The next prime is 3023475401. The reversal of 3023475400 is 45743203.

It can be written as a sum of positive squares in 6 ways, for example, as 2327676516 + 695798884 = 48246^2 + 26378^2 .

It is not an unprimeable number, because it can be changed into a prime (3023475401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2443582 + ... + 2444818.

Almost surely, 23023475400 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 3023475400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904769610).

3023475400 is an abundant number, since it is smaller than the sum of its proper divisors (4786063820).

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

3023475400 is a wasteful number, since it uses less digits than its factorization.

3023475400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 3023475400 is about 54986.1382531998. The cubic root of 3023475400 is about 1446.0017319342.

The spelling of 3023475400 in words is "three billion, twenty-three million, four hundred seventy-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 121 200 202 220 242 275 404 440 484 505 550 605 808 968 1010 1100 1111 1210 1237 2020 2200 2222 2420 2474 2525 3025 4040 4444 4840 4948 5050 5555 6050 6185 8888 9896 10100 11110 12100 12221 12370 13607 20200 22220 24200 24442 24740 27214 27775 30925 44440 48884 49480 54428 55550 61105 61850 68035 97768 108856 111100 122210 123700 124937 136070 149677 222200 244420 247400 249874 272140 299354 305525 340175 488840 499748 544280 598708 611050 624685 680350 748385 999496 1197416 1222100 1249370 1360700 1374307 1496770 2444200 2498740 2721400 2748614 2993540 3123425 3741925 4997480 5497228 5987080 6246850 6871535 7483850 10994456 12493700 13743070 14967700 15117377 24987400 27486140 29935400 30234754 34357675 54972280 60469508 68715350 75586885 120939016 137430700 151173770 274861400 302347540 377934425 604695080 755868850 1511737700 3023475400