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34690302 = 23317233153
BaseRepresentation
bin1000010001010…
…1010011111110
32102021110011000
42010111103332
532340042202
63235311130
7600601623
oct204252376
972243130
1034690302
1118644379
12b74b4a6
137257b0a
14487034a
1530a391c
hex21154fe

34690302 has 128 divisors (see below), whose sum is σ = 89579520. Its totient is φ = 9884160.

The previous prime is 34690301. The next prime is 34690343. The reversal of 34690302 is 20309643.

34690302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34690301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 654508 + ... + 654560.

It is an arithmetic number, because the mean of its divisors is an integer number (699840).

Almost surely, 234690302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34690302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44789760).

34690302 is an abundant number, since it is smaller than the sum of its proper divisors (54889218).

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

34690302 is a wasteful number, since it uses less digits than its factorization.

34690302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 34690302 is about 5889.8473664434. The cubic root of 34690302 is about 326.1389686912.

Adding to 34690302 its reverse (20309643), we get a palindrome (54999945).

The spelling of 34690302 in words is "thirty-four million, six hundred ninety thousand, three hundred two".

Divisors: 1 2 3 6 9 17 18 23 27 31 34 46 51 53 54 62 69 93 102 106 138 153 159 186 207 279 306 318 391 414 459 477 527 558 621 713 782 837 901 918 954 1054 1173 1219 1242 1426 1431 1581 1643 1674 1802 2139 2346 2438 2703 2862 3162 3286 3519 3657 4278 4743 4929 5406 6417 7038 7314 8109 9486 9858 10557 10971 12121 12834 14229 14787 16218 19251 20723 21114 21942 24242 24327 27931 28458 29574 32913 36363 37789 38502 41446 44361 48654 55862 62169 65826 72726 75578 83793 88722 109089 113367 124338 167586 186507 218178 226734 251379 327267 340101 373014 502758 559521 642413 654534 680202 754137 1020303 1119042 1284826 1508274 1927239 2040606 3854478 5781717 11563434 17345151 34690302