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341372416 = 2972111237
BaseRepresentation
bin10100010110001…
…110111000000000
3212210100111220211
4110112032320000
51144342404131
653512443504
711313421600
oct2426167000
9783314824
10341372416
11165772170
12963a9594
1355955218
14334a2c00
151ee825b1
hex1458ee00

341372416 has 120 divisors (see below), whose sum is σ = 866268216. Its totient is φ = 132894720.

The previous prime is 341372401. The next prime is 341372419. The reversal of 341372416 is 614273143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341372419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275350 + ... + 276586.

Almost surely, 2341372416 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 341372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433134108).

341372416 is an abundant number, since it is smaller than the sum of its proper divisors (524895800).

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

341372416 is a wasteful number, since it uses less digits than its factorization.

341372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1257 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 341372416 is about 18476.2662894861. The cubic root of 341372416 is about 698.8910440946.

The spelling of 341372416 in words is "three hundred forty-one million, three hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 512 539 616 704 784 896 1078 1232 1237 1408 1568 1792 2156 2464 2474 2816 3136 3584 4312 4928 4948 5632 6272 8624 8659 9856 9896 12544 13607 17248 17318 19712 19792 25088 27214 34496 34636 39424 39584 54428 60613 68992 69272 79168 95249 108856 121226 137984 138544 158336 190498 217712 242452 275968 277088 316672 380996 435424 484904 554176 633344 666743 761992 870848 969808 1108352 1333486 1523984 1741696 1939616 2216704 2666972 3047968 3483392 3879232 4433408 5333944 6095936 6966784 7758464 10667888 12191872 15516928 21335776 24383744 31033856 42671552 48767488 85343104 170686208 341372416