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3023013400 = 2352119471451
BaseRepresentation
bin1011010000101111…
…1000011000011000
321210200022222210021
42310023320120120
522142342412100
61215545400224
7134625122101
oct26413703030
97720288707
103023013400
111311459790
12704499074
133923b1434
142096b73a8
1512a5dca1a
hexb42f8618

3023013400 has 96 divisors (see below), whose sum is σ = 7680847680. Its totient is φ = 1097360000.

The previous prime is 3023013377. The next prime is 3023013407. The reversal of 3023013400 is 43103203.

It is a super-2 number, since 2×30230134002 = 18277220033159120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023013407) 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, 2082675 + ... + 2084125.

It is an arithmetic number, because the mean of its divisors is an integer number (80008830).

Almost surely, 23023013400 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 3023013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840423840).

3023013400 is an abundant number, since it is smaller than the sum of its proper divisors (4657834280).

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

3023013400 is a wasteful number, since it uses less digits than its factorization.

3023013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3023013400 is about 54981.9370339023. The cubic root of 3023013400 is about 1445.9280764284.

Adding to 3023013400 its reverse (43103203), we get a palindrome (3066116603).

The spelling of 3023013400 in words is "three billion, twenty-three million, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 947 1100 1451 1894 2200 2902 3788 4735 5804 7255 7576 9470 10417 11608 14510 15961 18940 20834 23675 29020 31922 36275 37880 41668 47350 52085 58040 63844 72550 79805 83336 94700 104170 127688 145100 159610 189400 208340 260425 290200 319220 399025 416680 520850 638440 798050 1041700 1374097 1596100 2083400 2748194 3192200 5496388 6870485 10992776 13740970 15115067 27481940 30230134 34352425 54963880 60460268 68704850 75575335 120920536 137409700 151150670 274819400 302301340 377876675 604602680 755753350 1511506700 3023013400