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8234453008 = 242337619977
BaseRepresentation
bin1111010101100111…
…11100100000010000
3210020212120112222001
413222303330200100
5113331004444013
63441032523344
7411025460425
oct75263744020
923225515861
108234453008
113546152471
121719850554
13a12ca1202
14581897d4c
15332dacddd
hex1eacfc810

8234453008 has 80 divisors (see below), whose sum is σ = 17143009920. Its totient is φ = 3821672448.

The previous prime is 8234452999. The next prime is 8234453021. The reversal of 8234453008 is 8003544328.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 8427816 + ... + 8428792.

It is an arithmetic number, because the mean of its divisors is an integer number (214287624).

Almost surely, 28234453008 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 8234453008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8571504960).

8234453008 is an abundant number, since it is smaller than the sum of its proper divisors (8908556912).

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

8234453008 is a wasteful number, since it uses less digits than its factorization.

8234453008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 8234453008 is about 90743.8868905228. The cubic root of 8234453008 is about 2019.3499368875.

The spelling of 8234453008 in words is "eight billion, two hundred thirty-four million, four hundred fifty-three thousand, eight".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 592 619 851 977 1238 1702 1954 2476 3404 3908 4952 6808 7816 9904 13616 14237 15632 22471 22903 28474 36149 44942 45806 56948 72298 89884 91612 113896 144596 179768 183224 227792 289192 359536 366448 526769 578384 604763 831427 1053538 1209526 1662854 2107076 2419052 3325708 4214152 4838104 6651416 8428304 9676208 13302832 13909549 22376231 27819098 44752462 55638196 89504924 111276392 179009848 222552784 358019696 514653313 1029306626 2058613252 4117226504 8234453008