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3123543040 = 21051314657
BaseRepresentation
bin1011101000101101…
…0111110000000000
322001200111102112021
42322023113300000
522344111334130
61233540211224
7140255451322
oct27213276000
98050442467
103123543040
111363182132
12732099b14
133aa17c027
14218ba5612
1513434937a
hexba2d7c00

3123543040 has 88 divisors (see below), whose sum is σ = 7551661392. Its totient is φ = 1239613440.

The previous prime is 3123543011. The next prime is 3123543089. The reversal of 3123543040 is 403453213.

It is a super-2 number, since 2×31235430402 = 19513042245464883200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3123542996 and 3123543014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 668392 + ... + 673048.

It is an arithmetic number, because the mean of its divisors is an integer number (85814334).

Almost surely, 23123543040 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 3123543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775830696).

3123543040 is an abundant number, since it is smaller than the sum of its proper divisors (4428118352).

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

3123543040 is a wasteful number, since it uses less digits than its factorization.

3123543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 3123543040 is about 55888.6664718349. Note that the first 3 decimals coincide. The cubic root of 3123543040 is about 1461.7816243531.

Adding to 3123543040 its reverse (403453213), we get a palindrome (3526996253).

The spelling of 3123543040 in words is "three billion, one hundred twenty-three million, five hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 256 262 320 512 524 640 655 1024 1048 1280 1310 2096 2560 2620 4192 4657 5120 5240 8384 9314 10480 16768 18628 20960 23285 33536 37256 41920 46570 67072 74512 83840 93140 134144 149024 167680 186280 298048 335360 372560 596096 610067 670720 745120 1192192 1220134 1490240 2384384 2440268 2980480 3050335 4768768 4880536 5960960 6100670 9761072 11921920 12201340 19522144 23843840 24402680 39044288 48805360 78088576 97610720 156177152 195221440 312354304 390442880 624708608 780885760 1561771520 3123543040