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31300464 = 24313103487
BaseRepresentation
bin111011101100…
…1101101110000
32011220020011110
41313121231300
531003103324
63034513320
7530022666
oct167315560
964806143
1031300464
1116739558
12a595840
13663bbb0
14422ac36
152b34329
hex1dd9b70

31300464 has 80 divisors (see below), whose sum is σ = 88105472. Its totient is φ = 9517824.

The previous prime is 31300463. The next prime is 31300471. The reversal of 31300464 is 46400313.

It is a self number, because there is not a number n which added to its sum of digits gives 31300464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31300463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64029 + ... + 64515.

Almost surely, 231300464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31300464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44052736).

31300464 is an abundant number, since it is smaller than the sum of its proper divisors (56805008).

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

31300464 is a wasteful number, since it uses less digits than its factorization.

31300464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 31300464 is about 5594.6817603864. The cubic root of 31300464 is about 315.1497197062.

Adding to 31300464 its reverse (46400313), we get a palindrome (77700777).

The spelling of 31300464 in words is "thirty-one million, three hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 309 312 412 487 618 624 824 974 1236 1339 1461 1648 1948 2472 2678 2922 3896 4017 4944 5356 5844 6331 7792 8034 10712 11688 12662 16068 18993 21424 23376 25324 32136 37986 50161 50648 64272 75972 100322 101296 150483 151944 200644 300966 303888 401288 601932 652093 802576 1203864 1304186 1956279 2407728 2608372 3912558 5216744 7825116 10433488 15650232 31300464