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1213740378 = 232373175749
BaseRepresentation
bin100100001011000…
…0011010101011010
310010120212101210100
41020112003111122
54441204143003
6320234400230
742035423454
oct11026032532
93116771710
101213740378
11573141124
1229a590076
131645c5696
14b72a92d4
1571851ba3
hex4858355a

1213740378 has 48 divisors (see below), whose sum is σ = 2709837000. Its totient is φ = 392335488.

The previous prime is 1213740377. The next prime is 1213740391. The reversal of 1213740378 is 8730473121.

1213740378 is a `hidden beast` number, since 1 + 213 + 74 + 0 + 378 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 630662769 + 583077609 = 25113^2 + 24147^2 .

It is not an unprimeable number, because it can be changed into a prime (1213740377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208248 + ... + 213996.

Almost surely, 21213740378 is an apocalyptic number.

1213740378 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 1213740378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354918500).

1213740378 is an abundant number, since it is smaller than the sum of its proper divisors (1496096622).

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

1213740378 is a wasteful number, since it uses less digits than its factorization.

1213740378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1213740378 is about 34838.7769303114. The cubic root of 1213740378 is about 1066.6991114914.

The spelling of 1213740378 in words is "one billion, two hundred thirteen million, seven hundred forty thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 317 333 634 666 951 1902 2853 5706 5749 11498 11729 17247 23458 34494 35187 51741 70374 103482 105561 211122 212713 425426 638139 1276278 1822433 1914417 3644866 3828834 5467299 10934598 16401897 32803794 67430021 134860042 202290063 404580126 606870189 1213740378