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3023010400 = 255211293347
BaseRepresentation
bin1011010000101111…
…0111101001100000
321210200022211200011
42310023313221200
522142342313100
61215545334304
7134625110254
oct26413675140
97720284604
103023010400
111311457503
12704497394
133923acc67
142096b6264
1512a5dbbba
hexb42f7a60

3023010400 has 72 divisors (see below), whose sum is σ = 7388667720. Its totient is φ = 1207772160.

The previous prime is 3023010391. The next prime is 3023010407. The reversal of 3023010400 is 40103203.

3023010400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023010407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 901527 + ... + 904873.

It is an arithmetic number, because the mean of its divisors is an integer number (102620385).

Almost surely, 23023010400 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 3023010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694333860).

3023010400 is an abundant number, since it is smaller than the sum of its proper divisors (4365657320).

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

3023010400 is a wasteful number, since it uses less digits than its factorization.

3023010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3023010400 is about 54981.9097522085. The cubic root of 3023010400 is about 1445.9275981213.

Adding to 3023010400 its reverse (40103203), we get a palindrome (3063113603).

The spelling of 3023010400 in words is "three billion, twenty-three million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1129 2258 3347 4516 5645 6694 9032 11290 13388 16735 18064 22580 26776 28225 33470 36128 45160 53552 56450 66940 83675 90320 107104 112900 133880 167350 180640 225800 267760 334700 451600 535520 669400 903200 1338800 2677600 3778763 7557526 15115052 18893815 30230104 37787630 60460208 75575260 94469075 120920416 151150520 188938150 302301040 377876300 604602080 755752600 1511505200 3023010400