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1244943264 = 25323661853
BaseRepresentation
bin100101000110100…
…0101001110100000
310012202120200002210
41022031011032200
510022201141024
6323311242120
742564562125
oct11215051640
93182520083
101244943264
11589813334
122a8b19340
1316abcc026
14bb4ac74c
1574467129
hex4a3453a0

1244943264 has 96 divisors (see below), whose sum is σ = 3419224704. Its totient is φ = 395873280.

The previous prime is 1244943257. The next prime is 1244943283. The reversal of 1244943264 is 4623494421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1459062 + ... + 1459914.

It is an arithmetic number, because the mean of its divisors is an integer number (35616924).

Almost surely, 21244943264 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 1244943264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709612352).

1244943264 is an abundant number, since it is smaller than the sum of its proper divisors (2174281440).

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

1244943264 is a wasteful number, since it uses less digits than its factorization.

1244943264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1542 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 1244943264 is about 35283.7535418215. The cubic root of 1244943264 is about 1075.7627941803.

The spelling of 1244943264 in words is "one billion, two hundred forty-four million, nine hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 661 736 853 1104 1322 1706 1983 2208 2559 2644 3412 3966 5118 5288 6824 7932 10236 10576 13648 15203 15864 19619 20472 21152 27296 30406 31728 39238 40944 45609 58857 60812 63456 78476 81888 91218 117714 121624 156952 182436 235428 243248 313904 364872 470856 486496 563833 627808 729744 941712 1127666 1459488 1691499 1883424 2255332 3382998 4510664 6765996 9021328 12968159 13531992 18042656 25936318 27063984 38904477 51872636 54127968 77808954 103745272 155617908 207490544 311235816 414981088 622471632 1244943264