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34168728 = 23311294463
BaseRepresentation
bin1000001001010…
…1111110011000
32101021221200110
42002111332120
532221344403
63220204320
7563300166
oct202257630
971257613
1034168728
1118318520
12b5396a0
1371045a9
144776236
152eee103
hex2095f98

34168728 has 64 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 9994880.

The previous prime is 34168681. The next prime is 34168741. The reversal of 34168728 is 82786143.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 5425 + ... + 9887.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 234168728 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 34168728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

34168728 is an abundant number, since it is smaller than the sum of its proper divisors (62253672).

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

34168728 is a wasteful number, since it uses less digits than its factorization.

34168728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4512 (or 4508 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 34168728 is about 5845.4022958219. The cubic root of 34168728 is about 324.4961914015.

The spelling of 34168728 in words is "thirty-four million, one hundred sixty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 4463 7656 8926 13389 17852 26778 35704 49093 53556 98186 107112 129427 147279 196372 258854 294558 388281 392744 517708 589116 776562 1035416 1178232 1423697 1553124 2847394 3106248 4271091 5694788 8542182 11389576 17084364 34168728