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1346253040 = 245114137313
BaseRepresentation
bin101000000111110…
…0011000011110000
310110211012201222201
41100033203003300
510224120044130
6341330512544
745234650656
oct12017430360
93424181881
101346253040
11630a19920
12316a35754
13185bb0a42
14cab20dd6
157d2c9bca
hex503e30f0

1346253040 has 80 divisors (see below), whose sum is σ = 3497963616. Its totient is φ = 477593600.

The previous prime is 1346253017. The next prime is 1346253049. The reversal of 1346253040 is 403526431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346253049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17424 + ... + 54736.

Almost surely, 21346253040 is an apocalyptic number.

1346253040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1346253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748981808).

1346253040 is an abundant number, since it is smaller than the sum of its proper divisors (2151710576).

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

1346253040 is a wasteful number, since it uses less digits than its factorization.

1346253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37378 (or 37372 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1346253040 is about 36691.3210446285. The cubic root of 1346253040 is about 1104.1859896338.

Adding to 1346253040 its reverse (403526431), we get a palindrome (1749779471).

The spelling of 1346253040 in words is "one billion, three hundred forty-six million, two hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 36080 37313 74626 149252 186565 298504 373130 410443 597008 746260 820886 1492520 1529833 1641772 2052215 2985040 3059666 3283544 4104430 6119332 6567088 7649165 8208860 12238664 15298330 16417720 16828163 24477328 30596660 32835440 33656326 61193320 67312652 84140815 122386640 134625304 168281630 269250608 336563260 673126520 1346253040