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1242341504 = 271723103241
BaseRepresentation
bin100101000001100…
…1010000010000000
310012120200111011022
41022003022002000
510021014412004
6323135405012
742533504615
oct11203120200
93176614138
101242341504
115882a6618
122a8083768
1316a4caa21
14badd250c
15741012be
hex4a0ca080

1242341504 has 128 divisors (see below), whose sum is σ = 2772506880. Its totient is φ = 551485440.

The previous prime is 1242341497. The next prime is 1242341531. The reversal of 1242341504 is 4051432421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5154824 + ... + 5155064.

It is an arithmetic number, because the mean of its divisors is an integer number (21660210).

Almost surely, 21242341504 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 1242341504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386253440).

1242341504 is an abundant number, since it is smaller than the sum of its proper divisors (1530165376).

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

1242341504 is a wasteful number, since it uses less digits than its factorization.

1242341504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1242341504 is about 35246.8651655718. The cubic root of 1242341504 is about 1075.0128728222.

Adding to 1242341504 its reverse (4051432421), we get a palindrome (5293773925).

The spelling of 1242341504 in words is "one billion, two hundred forty-two million, three hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 103 128 136 184 206 241 272 368 391 412 482 544 736 782 824 964 1088 1472 1564 1648 1751 1928 2176 2369 2944 3128 3296 3502 3856 4097 4738 5543 6256 6592 7004 7712 8194 9476 11086 12512 13184 14008 15424 16388 18952 22172 24823 25024 28016 30848 32776 37904 40273 44344 49646 50048 56032 65552 75808 80546 88688 94231 99292 112064 131104 151616 161092 177376 188462 198584 224128 262208 303232 322184 354752 376924 397168 421991 524416 570929 644368 709504 753848 794336 843982 1141858 1288736 1507696 1588672 1687964 2283716 2577472 3015392 3177344 3375928 4567432 5154944 6030784 6751856 9134864 9705793 12061568 13503712 18269728 19411586 27007424 36539456 38823172 54014848 73078912 77646344 155292688 310585376 621170752 1242341504