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1120384464 = 243238312227
BaseRepresentation
bin100001011000111…
…1011010111010000
32220002012102112220
41002301323113100
54243304300324
6303101421040
736523053003
oct10261732720
92802172486
101120384464
11525478481
1227326a780
1314b16a0b4
14a8b2753a
1568560b79
hex42c7b5d0

1120384464 has 80 divisors (see below), whose sum is σ = 3056804352. Its totient is φ = 352891264.

The previous prime is 1120384459. The next prime is 1120384477. The reversal of 1120384464 is 4644830211.

It is a super-2 number, since 2×11203844642 = 2510522694345134592, which contains 22 as substring.

It is a congruent number.

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, 85519 + ... + 97745.

Almost surely, 21120384464 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 1120384464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528402176).

1120384464 is an abundant number, since it is smaller than the sum of its proper divisors (1936419888).

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

1120384464 is a wasteful number, since it uses less digits than its factorization.

1120384464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12344 (or 12338 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 1120384464 is about 33472.1445981580. The cubic root of 1120384464 is about 1038.6176357672.

The spelling of 1120384464 in words is "one billion, one hundred twenty million, three hundred eighty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 184 249 276 332 368 498 552 664 996 1104 1328 1909 1992 3818 3984 5727 7636 11454 12227 15272 22908 24454 30544 36681 45816 48908 73362 91632 97816 146724 195632 281221 293448 562442 586896 843663 1014841 1124884 1687326 2029682 2249768 3044523 3374652 4059364 4499536 6089046 6749304 8118728 12178092 13498608 16237456 23341343 24356184 46682686 48712368 70024029 93365372 140048058 186730744 280096116 373461488 560192232 1120384464