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1268352378 = 23337718941
BaseRepresentation
bin100101110011001…
…1000010101111010
310021101121222101000
41023212120111322
510044144234003
6325505105430
743300550226
oct11346302572
93241558330
101268352378
115a0a51a07
122b4928276
13172a07087
14c0643786
157653d1a3
hex4b99857a

1268352378 has 64 divisors (see below), whose sum is σ = 2935837440. Its totient is φ = 405518400.

The previous prime is 1268352361. The next prime is 1268352401. The reversal of 1268352378 is 8732538621.

1268352378 is a `hidden beast` number, since 1 + 268 + 352 + 37 + 8 = 666.

It is a hoax number, since the sum of its digits (45) 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 31 ways as a sum of consecutive naturals, for example, 137388 + ... + 146328.

It is an arithmetic number, because the mean of its divisors is an integer number (45872460).

Almost surely, 21268352378 is an apocalyptic number.

1268352378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268352378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467918720).

1268352378 is an abundant number, since it is smaller than the sum of its proper divisors (1667485062).

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

1268352378 is a wasteful number, since it uses less digits than its factorization.

1268352378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9060 (or 9054 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1268352378 is about 35613.9351658870. The cubic root of 1268352378 is about 1082.4636197187.

The spelling of 1268352378 in words is "one billion, two hundred sixty-eight million, three hundred fifty-two thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 37 54 71 74 111 142 213 222 333 426 639 666 999 1278 1917 1998 2627 3834 5254 7881 8941 15762 17882 23643 26823 47286 53646 70929 80469 141858 160938 241407 330817 482814 634811 661634 992451 1269622 1904433 1984902 2977353 3808866 5713299 5954706 8932059 11426598 17139897 17864118 23488007 34279794 46976014 70464021 140928042 211392063 422784126 634176189 1268352378