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634634028 = 22347299649
BaseRepresentation
bin100101110100111…
…011111100101100
31122020011202020000
4211310323330230
52244431242103
6142550224300
721504204660
oct4564737454
91566152200
10634634028
112a6263a36
12158655090
13a1633bc2
14604008a0
153aaaeaa3
hex25d3bf2c

634634028 has 120 divisors (see below), whose sum is σ = 1961652000. Its totient is φ = 175053312.

The previous prime is 634634023. The next prime is 634634051. The reversal of 634634028 is 820436436.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 634633983 and 634634001.

It is not an unprimeable number, because it can be changed into a prime (634634023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60948 + ... + 70596.

It is an arithmetic number, because the mean of its divisors is an integer number (16347100).

Almost surely, 2634634028 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 634634028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980826000).

634634028 is an abundant number, since it is smaller than the sum of its proper divisors (1327017972).

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

634634028 is a wasteful number, since it uses less digits than its factorization.

634634028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9701 (or 9690 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 634634028 is about 25191.9437122267. The cubic root of 634634028 is about 859.3586474782.

The spelling of 634634028 in words is "six hundred thirty-four million, six hundred thirty-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 252 261 324 348 378 406 522 567 609 756 783 812 1044 1134 1218 1566 1827 2268 2349 2436 3132 3654 4698 5481 7308 9396 9649 10962 16443 19298 21924 28947 32886 38596 57894 65772 67543 86841 115788 135086 173682 202629 260523 270172 279821 347364 405258 521046 559642 607887 781569 810516 839463 1042092 1119284 1215774 1563138 1678926 1823661 1958747 2431548 2518389 3126276 3357852 3647322 3917494 5036778 5470983 5876241 7294644 7555167 7834988 10073556 10941966 11752482 15110334 17628723 21883932 22665501 23504964 30220668 35257446 45331002 52886169 70514892 90662004 105772338 158658507 211544676 317317014 634634028