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3415701136 = 241927692
BaseRepresentation
bin1100101110010111…
…0111011010010000
322211001020121002111
43023211313122100
523443404414021
61322534155104
7150433660231
oct31345673220
98731217074
103415701136
1114a308a901
127b3ab2a94
13425862643
142458d7088
1514ed098e1
hexcb977690

3415701136 has 45 divisors (see below), whose sum is σ = 6993659241. Its totient is φ = 1615859712.

The previous prime is 3415701131. The next prime is 3415701169. The reversal of 3415701136 is 6311075143.

The square root of 3415701136 is 58444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1336341136 + 2079360000 = 36556^2 + 45600^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3415701098 and 3415701107.

It is not an unprimeable number, because it can be changed into a prime (3415701131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4441360 + ... + 4442128.

Almost surely, 23415701136 is an apocalyptic number.

3415701136 is the 58444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415701136

3415701136 is an abundant number, since it is smaller than the sum of its proper divisors (3577958105).

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

3415701136 is an frugal number, since it uses more digits than its factorization.

3415701136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The cubic root of 3415701136 is about 1506.0057200521.

Adding to 3415701136 its reverse (6311075143), we get a palindrome (9726776279).

The spelling of 3415701136 in words is "three billion, four hundred fifteen million, seven hundred one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 769 1444 1538 2888 3076 5776 6152 12304 14611 29222 58444 116888 233776 277609 555218 591361 1110436 1182722 2220872 2365444 4441744 4730888 9461776 11235859 22471718 44943436 89886872 179773744 213481321 426962642 853925284 1707850568 3415701136