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34498728 = 233211431013
BaseRepresentation
bin1000001110011…
…0100010101000
32101220201100200
42003212202220
532312424403
63231232200
7566143245
oct203464250
971821320
1034498728
1118523450
12b678660
1371bb864
1448205cc
153066ca3
hex20e68a8

34498728 has 96 divisors (see below), whose sum is σ = 104401440. Its totient is φ = 10200960.

The previous prime is 34498721. The next prime is 34498757. The reversal of 34498728 is 82789443.

It is not an unprimeable number, because it can be changed into a prime (34498721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33550 + ... + 34562.

It is an arithmetic number, because the mean of its divisors is an integer number (1087515).

Almost surely, 234498728 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 34498728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52200720).

34498728 is an abundant number, since it is smaller than the sum of its proper divisors (69902712).

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

34498728 is a wasteful number, since it uses less digits than its factorization.

34498728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1072 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 34498728 is about 5873.5617814066. The cubic root of 34498728 is about 325.5375026693.

The spelling of 34498728 in words is "thirty-four million, four hundred ninety-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1013 1032 1419 1548 1892 2026 2838 3039 3096 3784 4052 4257 5676 6078 8104 8514 9117 11143 11352 12156 17028 18234 22286 24312 33429 34056 36468 43559 44572 66858 72936 87118 89144 100287 130677 133716 174236 200574 261354 267432 348472 392031 401148 479149 522708 784062 802296 958298 1045416 1437447 1568124 1916596 2874894 3136248 3833192 4312341 5749788 8624682 11499576 17249364 34498728