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343412172 = 2232172331787
BaseRepresentation
bin10100011110000…
…000110111001100
3212221012010221100
4110132000313030
51200403142142
654024303100
711336645445
oct2436006714
9787163840
10343412172
11166935714
1297011a90
13561ba78c
14338742cc
1520236b4c
hex14780dcc

343412172 has 144 divisors (see below), whose sum is σ = 991291392. Its totient is φ = 99601920.

The previous prime is 343412143. The next prime is 343412219. The reversal of 343412172 is 271214343.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 435963 + ... + 436749.

It is an arithmetic number, because the mean of its divisors is an integer number (6883968).

Almost surely, 2343412172 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 343412172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495645696).

343412172 is an abundant number, since it is smaller than the sum of its proper divisors (647879220).

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

343412172 is a wasteful number, since it uses less digits than its factorization.

343412172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 863 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 343412172 is about 18531.3834345955. The cubic root of 343412172 is about 700.2802768791.

The spelling of 343412172 in words is "three hundred forty-three million, four hundred twelve thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 23 31 34 36 46 51 62 68 69 92 93 102 124 138 153 186 204 207 276 279 306 372 391 414 527 558 612 713 782 787 828 1054 1116 1173 1426 1564 1574 1581 2108 2139 2346 2361 2852 3148 3162 3519 4278 4692 4722 4743 6324 6417 7038 7083 8556 9444 9486 12121 12834 13379 14076 14166 18101 18972 24242 24397 25668 26758 28332 36202 36363 40137 48484 48794 53516 54303 72404 72726 73191 80274 97588 108606 109089 120411 145452 146382 160548 162909 217212 218178 219573 240822 292764 307717 325818 414749 436356 439146 481644 561131 615434 651636 829498 878292 923151 1122262 1230868 1244247 1658996 1683393 1846302 2244524 2488494 2769453 3366786 3692604 3732741 4976988 5050179 5538906 6733572 7465482 9539227 10100358 11077812 14930964 19078454 20200716 28617681 38156908 57235362 85853043 114470724 171706086 343412172