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1378460232 = 2332172414673
BaseRepresentation
bin101001000101001…
…1010001001001000
310120001211000221200
41102022122021020
510310341211412
6344441104200
746105501332
oct12212321110
93501730850
101378460232
11648117636
12325788060
1318c779556
14d1106452
158103c9dc
hex5229a248

1378460232 has 96 divisors (see below), whose sum is σ = 3970189080. Its totient is φ = 430571520.

The previous prime is 1378460231. The next prime is 1378460267. The reversal of 1378460232 is 2320648731.

It is a happy number.

1378460232 is a `hidden beast` number, since 13 + 7 + 8 + 4 + 602 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1335610116 + 42850116 = 36546^2 + 6546^2 .

It is a super-2 number, since 2×13784602322 = 3800305222410987648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1378460231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292648 + ... + 297320.

Almost surely, 21378460232 is an apocalyptic number.

1378460232 is a gapful number since it is divisible by the number (12) 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 1378460232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985094540).

1378460232 is an abundant number, since it is smaller than the sum of its proper divisors (2591728848).

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

1378460232 is a wasteful number, since it uses less digits than its factorization.

1378460232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1378460232 is about 37127.6208771852. The cubic root of 1378460232 is about 1112.9220502268.

The spelling of 1378460232 in words is "one billion, three hundred seventy-eight million, four hundred sixty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 241 306 408 482 612 723 964 1224 1446 1928 2169 2892 4097 4338 4673 5784 8194 8676 9346 12291 14019 16388 17352 18692 24582 28038 32776 36873 37384 42057 49164 56076 73746 79441 84114 98328 112152 147492 158882 168228 238323 294984 317764 336456 476646 635528 714969 953292 1126193 1429938 1906584 2252386 2859876 3378579 4504772 5719752 6757158 9009544 10135737 13514316 19145281 20271474 27028632 38290562 40542948 57435843 76581124 81085896 114871686 153162248 172307529 229743372 344615058 459486744 689230116 1378460232