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34460034 = 23721931199
BaseRepresentation
bin1000001101110…
…1000110000010
32101211202021120
42003131012002
532310210114
63230333110
7565622400
oct203350602
971752246
1034460034
11184a7374
12b65a196
1371a706b
144810470
15305a5a9
hex20dd182

34460034 has 96 divisors (see below), whose sum is σ = 87552000. Its totient is φ = 8981280.

The previous prime is 34460009. The next prime is 34460039. The reversal of 34460034 is 43006443.

It is a junction number, because it is equal to n+sod(n) for n = 34459986 and 34460013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34460039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173067 + ... + 173265.

It is an arithmetic number, because the mean of its divisors is an integer number (912000).

Almost surely, 234460034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34460034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43776000).

34460034 is an abundant number, since it is smaller than the sum of its proper divisors (53091966).

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

34460034 is a wasteful number, since it uses less digits than its factorization.

34460034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 34460034 is about 5870.2669445265. The cubic root of 34460034 is about 325.4157488039.

Adding to 34460034 its reverse (43006443), we get a palindrome (77466477).

It can be divided in two parts, 344 and 60034, that added together give a triangular number (60378 = T347).

The spelling of 34460034 in words is "thirty-four million, four hundred sixty thousand, thirty-four".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 49 57 62 93 98 114 133 147 186 199 217 266 294 398 399 434 589 597 651 798 931 1178 1194 1302 1393 1519 1767 1862 2786 2793 3038 3534 3781 4123 4179 4557 5586 6169 7562 8246 8358 9114 9751 11343 12338 12369 18507 19502 22686 24738 26467 28861 29253 37014 43183 52934 57722 58506 79401 86366 86583 117211 129549 158802 173166 185269 234422 259098 302281 351633 370538 555807 604562 703266 820477 906843 1111614 1640954 1813686 2461431 4922862 5743339 11486678 17230017 34460034