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1242430320 = 24358397643
BaseRepresentation
bin100101000001101…
…1111101101110000
310012120211222222210
41022003133231300
510021030232240
6323141332120
742534324555
oct11203375560
93176758883
101242430320
1158835731a
122a8107040
1316a52c291
14bb016a2c
157411c780
hex4a0dfb70

1242430320 has 160 divisors (see below), whose sum is σ = 3944247552. Its totient is φ = 323444736.

The previous prime is 1242430309. The next prime is 1242430337. The reversal of 1242430320 is 230342421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1931919 + ... + 1932561.

Almost surely, 21242430320 is an apocalyptic number.

1242430320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972123776).

1242430320 is an abundant number, since it is smaller than the sum of its proper divisors (2701817232).

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

1242430320 is a wasteful number, since it uses less digits than its factorization.

1242430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1242430320 is about 35248.1250565190. The cubic root of 1242430320 is about 1075.0384900587.

Adding to 1242430320 its reverse (230342421), we get a palindrome (1472772741).

The spelling of 1242430320 in words is "one billion, two hundred forty-two million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 97 120 166 194 240 249 291 332 388 415 485 498 582 643 664 776 830 970 996 1164 1245 1286 1328 1455 1552 1660 1929 1940 1992 2328 2490 2572 2910 3215 3320 3858 3880 3984 4656 4980 5144 5820 6430 6640 7716 7760 8051 9645 9960 10288 11640 12860 15432 16102 19290 19920 23280 24153 25720 30864 32204 38580 40255 48306 51440 53369 62371 64408 77160 80510 96612 106738 120765 124742 128816 154320 160107 161020 187113 193224 213476 241530 249484 266845 311855 320214 322040 374226 386448 426952 483060 498968 533690 623710 640428 644080 748452 800535 853904 935565 966120 997936 1067380 1247420 1280856 1496904 1601070 1871130 1932240 2134760 2494840 2561712 2993808 3202140 3742260 4269520 4989680 5176793 6404280 7484520 10353586 12808560 14969040 15530379 20707172 25883965 31060758 41414344 51767930 62121516 77651895 82828688 103535860 124243032 155303790 207071720 248486064 310607580 414143440 621215160 1242430320