Search a number
-
+
34470912 = 210372229
BaseRepresentation
bin1000001101111…
…1110000000000
32101212022012110
42003133300000
532311032122
63230455320
7565666200
oct203376000
971768173
1034470912
1118504563
12b664540
1371abcb8
144814400
15305d90c
hex20dfc00

34470912 has 132 divisors (see below), whose sum is σ = 107344680. Its totient is φ = 9805824.

The previous prime is 34470911. The next prime is 34470913. The reversal of 34470912 is 21907443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34470911) and next prime (34470913).

It is a super-2 number, since 2×344709122 = 2376487548223488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34470912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34470911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150414 + ... + 150642.

Almost surely, 234470912 is an apocalyptic number.

34470912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34470912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53672340).

34470912 is an abundant number, since it is smaller than the sum of its proper divisors (72873768).

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

34470912 is a wasteful number, since it uses less digits than its factorization.

34470912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 34470912 is about 5871.1934050924. The cubic root of 34470912 is about 325.4499865347.

The spelling of 34470912 in words is "thirty-four million, four hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 229 256 294 336 384 392 448 458 512 588 672 687 768 784 896 916 1024 1176 1344 1374 1536 1568 1603 1792 1832 2352 2688 2748 3072 3136 3206 3584 3664 4704 4809 5376 5496 6272 6412 7168 7328 9408 9618 10752 10992 11221 12544 12824 14656 18816 19236 21504 21984 22442 25088 25648 29312 33663 37632 38472 43968 44884 50176 51296 58624 67326 75264 76944 87936 89768 102592 117248 134652 150528 153888 175872 179536 205184 234496 269304 307776 351744 359072 410368 538608 615552 703488 718144 820736 1077216 1231104 1436288 1641472 2154432 2462208 2872576 4308864 4924416 5745152 8617728 11490304 17235456 34470912