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2148435324 = 2232764313259
BaseRepresentation
bin1000000000001110…
…1000010101111100
312112201122211012200
42000003220111330
513344444412244
6553104231500
7104145253560
oct20003502574
95481584180
102148435324
11a02810292
124bb60b590
13283149009
141654976a0
15c8933669
hex800e857c

2148435324 has 72 divisors (see below), whose sum is σ = 6216712320. Its totient is φ = 612837792.

The previous prime is 2148435319. The next prime is 2148435349. The reversal of 2148435324 is 4235348412.

2148435324 is a `hidden beast` number, since 214 + 8 + 435 + 3 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155407 + ... + 168665.

Almost surely, 22148435324 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 2148435324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108356160).

2148435324 is an abundant number, since it is smaller than the sum of its proper divisors (4068276996).

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

2148435324 is a wasteful number, since it uses less digits than its factorization.

2148435324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13919 (or 13914 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2148435324 is about 46351.2170713995. The cubic root of 2148435324 is about 1290.3497086856.

The spelling of 2148435324 in words is "two billion, one hundred forty-eight million, four hundred thirty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 643 1286 1929 2572 3858 4501 5787 7716 9002 11574 13259 13503 18004 23148 26518 27006 39777 40509 53036 54012 79554 81018 92813 119331 159108 162036 185626 238662 278439 371252 477324 556878 835317 1113756 1670634 3341268 8525537 17051074 25576611 34102148 51153222 59678759 76729833 102306444 119357518 153459666 179036277 238715036 306919332 358072554 537108831 716145108 1074217662 2148435324