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34010328 = 23311472741
BaseRepresentation
bin1000000110111…
…1010011011000
32100222220101210
42001233103120
532201312303
63212543120
7562040322
oct201572330
970886353
1034010328
111821a510
12b481aa0
13707a471
144734612
152ebc203
hex206f4d8

34010328 has 64 divisors (see below), whose sum is σ = 94763520. Its totient is φ = 10083200.

The previous prime is 34010309. The next prime is 34010411. The reversal of 34010328 is 82301043.

It is a happy number.

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, 11038 + ... + 13778.

It is an arithmetic number, because the mean of its divisors is an integer number (1480680).

Almost surely, 234010328 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 34010328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47381760).

34010328 is an abundant number, since it is smaller than the sum of its proper divisors (60753192).

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

34010328 is a wasteful number, since it uses less digits than its factorization.

34010328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 34010328 is about 5831.8374462943. The cubic root of 34010328 is about 323.9939794644.

The spelling of 34010328 in words is "thirty-four million, ten thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 2741 3102 4136 5482 6204 8223 10964 12408 16446 21928 30151 32892 60302 65784 90453 120604 128827 180906 241208 257654 361812 386481 515308 723624 772962 1030616 1417097 1545924 2834194 3091848 4251291 5668388 8502582 11336776 17005164 34010328