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3424053400 = 235247563647
BaseRepresentation
bin1100110000010110…
…1110100010011000
322211121221221020121
43030011232202120
524003024202100
61323433203024
7150564654655
oct31405564230
98747857217
103424053400
1114a7874aa9
127b6860474
134274c8201
14246a6cc2c
1515090951a
hexcc16e898

3424053400 has 96 divisors (see below), whose sum is σ = 8157335040. Its totient is φ = 1336031360.

The previous prime is 3424053319. The next prime is 3424053431. The reversal of 3424053400 is 43504243.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 5291877 + ... + 5292523.

It is an arithmetic number, because the mean of its divisors is an integer number (84972240).

Almost surely, 23424053400 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 3424053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078667520).

3424053400 is an abundant number, since it is smaller than the sum of its proper divisors (4733281640).

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

3424053400 is a wasteful number, since it uses less digits than its factorization.

3424053400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3424053400 is about 58515.4116451384. The cubic root of 3424053400 is about 1507.2322440917.

Adding to 3424053400 its reverse (43504243), we get a palindrome (3467557643).

The spelling of 3424053400 in words is "three billion, four hundred twenty-four million, fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 563 647 940 1126 1175 1294 1880 2252 2350 2588 2815 3235 4504 4700 5176 5630 6470 9400 11260 12940 14075 16175 22520 25880 26461 28150 30409 32350 52922 56300 60818 64700 105844 112600 121636 129400 132305 152045 211688 243272 264610 304090 364261 529220 608180 661525 728522 760225 1058440 1216360 1323050 1457044 1520450 1821305 2646100 2914088 3040900 3642610 5292200 6081800 7285220 9106525 14570440 17120267 18213050 34240534 36426100 68481068 72852200 85601335 136962136 171202670 342405340 428006675 684810680 856013350 1712026700 3424053400