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1349195010 = 235371637457
BaseRepresentation
bin101000001101011…
…0001010100000010
310111000202012121120
41100122301110002
510230343220020
6341513533110
745301653102
oct12032612402
93430665546
101349195010
116326491a9
12317a14196
131866a0b57
14cb289202
157d6ab740
hex506b1502

1349195010 has 64 divisors (see below), whose sum is σ = 3346434432. Its totient is φ = 347867136.

The previous prime is 1349194991. The next prime is 1349195017. The reversal of 1349195010 is 105919431.

It is not an unprimeable number, because it can be changed into a prime (1349195017) 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 31 ways as a sum of consecutive naturals, for example, 177202 + ... + 184658.

It is an arithmetic number, because the mean of its divisors is an integer number (52288038).

Almost surely, 21349195010 is an apocalyptic number.

1349195010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349195010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673217216).

1349195010 is an abundant number, since it is smaller than the sum of its proper divisors (1997239422).

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

1349195010 is a wasteful number, since it uses less digits than its factorization.

1349195010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7667.

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 1349195010 is about 36731.3899818670. The cubic root of 1349195010 is about 1104.9897312096.

The spelling of 1349195010 in words is "one billion, three hundred forty-nine million, one hundred ninety-five thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 163 185 222 326 370 489 555 815 978 1110 1630 2445 4890 6031 7457 12062 14914 18093 22371 30155 36186 37285 44742 60310 74570 90465 111855 180930 223710 275909 551818 827727 1215491 1379545 1655454 2430982 2759090 3646473 4138635 6077455 7292946 8277270 12154910 18232365 36464730 44973167 89946334 134919501 224865835 269839002 449731670 674597505 1349195010