Search a number
-
+
634939884 = 22348997227
BaseRepresentation
bin100101110110000…
…110100111101100
31122020202021210000
4211312012213230
52300021034014
6143000544300
721506620455
oct4566064754
91566667700
10634939884
112a6452807
12158782090
13a1710197
146048012c
153ab20509
hex25d869ec

634939884 has 120 divisors (see below), whose sum is σ = 1703283120. Its totient is φ = 206198784.

The previous prime is 634939867. The next prime is 634939897. The reversal of 634939884 is 488939436.

It is a happy number.

634939884 is a `hidden beast` number, since 63 + 493 + 98 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 634939884.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2796979 + ... + 2797205.

It is an arithmetic number, because the mean of its divisors is an integer number (14194026).

Almost surely, 2634939884 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 634939884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851641560).

634939884 is an abundant number, since it is smaller than the sum of its proper divisors (1068343236).

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

634939884 is a wasteful number, since it uses less digits than its factorization.

634939884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 634939884 is about 25198.0134931308. The cubic root of 634939884 is about 859.4966786235.

The spelling of 634939884 in words is "six hundred thirty-four million, nine hundred thirty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 97 108 162 178 194 227 267 291 324 356 388 454 534 582 681 801 873 908 1068 1164 1362 1602 1746 2043 2403 2619 2724 3204 3492 4086 4806 5238 6129 7209 7857 8172 8633 9612 10476 12258 14418 15714 17266 18387 20203 22019 24516 25899 28836 31428 34532 36774 40406 44038 51798 60609 66057 73548 77697 80812 88076 103596 121218 132114 155394 181827 198171 233091 242436 264228 310788 363654 396342 466182 545481 594513 699273 727308 792684 932364 1090962 1189026 1398546 1636443 1783539 1959691 2181924 2378052 2797092 3272886 3567078 3919382 5879073 6545772 7134156 7838764 11758146 17637219 23516292 35274438 52911657 70548876 105823314 158734971 211646628 317469942 634939884