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3136346040 = 233543607819
BaseRepresentation
bin1011101011110000…
…1101011110111000
322002120120212221110
42322330031132320
522410401033130
61235114440320
7140502334002
oct27274153670
98076525843
103136346040
11136a427223
127364330a0
133aca12679
1421a779372
15135527ab0
hexbaf0d7b8

3136346040 has 64 divisors (see below), whose sum is σ = 9627868800. Its totient is φ = 816907392.

The previous prime is 3136346029. The next prime is 3136346071. The reversal of 3136346040 is 406436313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3136345989 and 3136346007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298750 + ... + 309069.

It is an arithmetic number, because the mean of its divisors is an integer number (150435450).

Almost surely, 23136346040 is an apocalyptic number.

3136346040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3136346040 is an abundant number, since it is smaller than the sum of its proper divisors (6491522760).

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

3136346040 is a wasteful number, since it uses less digits than its factorization.

3136346040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607876 (or 607872 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3136346040 is about 56003.0895576307. The cubic root of 3136346040 is about 1463.7761198755.

The spelling of 3136346040 in words is "three billion, one hundred thirty-six million, three hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 607819 1215638 1823457 2431276 3039095 3646914 4862552 6078190 7293828 9117285 12156380 14587656 18234570 24312760 26136217 36469140 52272434 72938280 78408651 104544868 130681085 156817302 209089736 261362170 313634604 392043255 522724340 627269208 784086510 1045448680 1568173020 3136346040