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34276164 = 223132341233
BaseRepresentation
bin1000001011000…
…0001101000100
32101111102001120
42002300031010
532233314124
63222353540
7564225336
oct202601504
971442046
1034276164
111839120a
12b58b8b0
137141470
1447a3456
153020d79
hex20b0344

34276164 has 96 divisors (see below), whose sum is σ = 92461824. Its totient is φ = 9799680.

The previous prime is 34276159. The next prime is 34276169. The reversal of 34276164 is 46167243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34276159) and next prime (34276169).

It is not an unprimeable number, because it can be changed into a prime (34276169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146992 + ... + 147224.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 234276164 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 34276164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912).

34276164 is an abundant number, since it is smaller than the sum of its proper divisors (58185660).

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

34276164 is a wasteful number, since it uses less digits than its factorization.

34276164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 34276164 is about 5854.5848699972. The cubic root of 34276164 is about 324.8359377070.

It can be divided in two parts, 3427 and 6164, that added together give a triangular number (9591 = T138).

The spelling of 34276164 in words is "thirty-four million, two hundred seventy-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 41 46 52 69 78 82 92 123 138 156 164 233 246 276 299 466 492 533 598 699 897 932 943 1066 1196 1398 1599 1794 1886 2132 2796 2829 3029 3198 3588 3772 5359 5658 6058 6396 9087 9553 10718 11316 12116 12259 16077 18174 19106 21436 24518 28659 32154 36348 36777 38212 49036 57318 64308 69667 73554 114636 124189 139334 147108 209001 219719 248378 278668 372567 418002 439438 496756 659157 745134 836004 878876 1318314 1490268 2636628 2856347 5712694 8569041 11425388 17138082 34276164