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1345202010 = 232517532313
BaseRepresentation
bin101000000101110…
…0010011101011010
310110202020100020200
41100023202131122
510223332431020
6341252203030
745223012515
oct12013423532
93422210220
101345202010
116303711a9
12316609476
13185903529
14ca929d7c
157d16d590
hex502e275a

1345202010 has 144 divisors (see below), whose sum is σ = 3786512184. Its totient is φ = 330190848.

The previous prime is 1345202009. The next prime is 1345202017. The reversal of 1345202010 is 102025431.

1345202010 is a `hidden beast` number, since 13 + 452 + 0 + 201 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 154330929 + 1190871081 = 12423^2 + 34509^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1345202017) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4297614 + ... + 4297926.

Almost surely, 21345202010 is an apocalyptic number.

1345202010 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 1345202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893256092).

1345202010 is an abundant number, since it is smaller than the sum of its proper divisors (2441310174).

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

1345202010 is a wasteful number, since it uses less digits than its factorization.

1345202010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1345202010 is about 36676.9956512253. The cubic root of 1345202010 is about 1103.8985660194.

Adding to 1345202010 its reverse (102025431), we get a palindrome (1447227441).

The spelling of 1345202010 in words is "one billion, three hundred forty-five million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 53 85 90 102 106 153 159 170 255 265 306 313 318 477 510 530 626 765 795 901 939 954 1530 1565 1590 1802 1878 2385 2703 2809 2817 3130 4505 4695 4770 5321 5406 5618 5634 8109 8427 9010 9390 10642 13515 14045 14085 15963 16218 16589 16854 25281 26605 27030 28090 28170 31926 33178 40545 42135 47753 47889 49767 50562 53210 79815 81090 82945 84270 95506 95778 99534 126405 143259 149301 159630 165890 238765 239445 248835 252810 282013 286518 298602 429777 477530 478890 497670 564026 716295 746505 846039 859554 879217 1410065 1432590 1493010 1692078 1758434 2148885 2538117 2637651 2820130 4230195 4297770 4396085 5076234 5275302 7912953 8460390 8792170 12690585 13188255 14946689 15825906 25381170 26376510 29893378 39564765 44840067 74733445 79129530 89680134 134520201 149466890 224200335 269040402 448400670 672601005 1345202010