Search a number
-
+
1330450884 = 2232737293487
BaseRepresentation
bin100111101001101…
…0001000111000100
310102201110220111200
41033103101013010
510211043412014
6340004102500
744653434360
oct11723210704
93381426450
101330450884
11623006494
12311694a30
1318283a259
14c89aa2a0
157bc07a09
hex4f4d11c4

1330450884 has 144 divisors (see below), whose sum is σ = 3969009408. Its totient is φ = 367835904.

The previous prime is 1330450879. The next prime is 1330450903. The reversal of 1330450884 is 4880540331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2731689 + ... + 2732175.

Almost surely, 21330450884 is an apocalyptic number.

1330450884 is a gapful number since it is divisible by the number (14) 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 1330450884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984504704).

1330450884 is an abundant number, since it is smaller than the sum of its proper divisors (2638558524).

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

1330450884 is a wasteful number, since it uses less digits than its factorization.

1330450884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1330450884 is about 36475.3462492133. The cubic root of 1330450884 is about 1099.8487075671.

The spelling of 1330450884 in words is "one billion, three hundred thirty million, four hundred fifty thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 293 333 444 487 518 586 666 777 879 974 1036 1172 1332 1461 1554 1758 1948 2051 2331 2637 2922 3108 3409 3516 4102 4383 4662 5274 5844 6153 6818 8204 8766 9324 10227 10548 10841 12306 13636 17532 18019 18459 20454 21682 24612 30681 32523 36038 36918 40908 43364 54057 61362 65046 72076 73836 75887 97569 108114 122724 126133 130092 142691 151774 162171 195138 216228 227661 252266 285382 303548 324342 378399 390276 428073 455322 504532 570764 648684 682983 756798 856146 910644 998837 1135197 1284219 1365966 1513596 1712292 1997674 2270394 2568438 2731932 2996511 3995348 4540788 5136876 5279567 5993022 8989533 10559134 11986044 15838701 17979066 21118268 31677402 35958132 36956969 47516103 63354804 73913938 95032206 110870907 147827876 190064412 221741814 332612721 443483628 665225442 1330450884