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343226464 = 25717173521
BaseRepresentation
bin10100011101010…
…011100001100000
3212220211201012021
4110131103201200
51200331221324
654020311224
711335243150
oct2435234140
9786751167
10343226464
11166819139
1296b42514
13561540a9
1433826760
15201ebae4
hex14753860

343226464 has 96 divisors (see below), whose sum is σ = 823991616. Its totient is φ = 137379840.

The previous prime is 343226459. The next prime is 343226479. The reversal of 343226464 is 464622343.

343226464 = T237 + T238 + ... + T1274.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658524 + ... + 659044.

It is an arithmetic number, because the mean of its divisors is an integer number (8583246).

Almost surely, 2343226464 is an apocalyptic number.

343226464 is a gapful number since it is divisible by the number (34) 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 343226464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411995808).

343226464 is an abundant number, since it is smaller than the sum of its proper divisors (480765152).

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

343226464 is a wasteful number, since it uses less digits than its factorization.

343226464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 720 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

The square root of 343226464 is about 18526.3721219239. The cubic root of 343226464 is about 700.1540232501.

The spelling of 343226464 in words is "three hundred forty-three million, two hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 173 224 238 272 346 476 521 544 692 952 1042 1211 1384 1904 2084 2422 2768 2941 3647 3808 4168 4844 5536 5882 7294 8336 8857 9688 11764 14588 16672 17714 19376 20587 23528 29176 35428 38752 41174 47056 58352 61999 70856 82348 90133 94112 116704 123998 141712 164696 180266 247996 283424 329392 360532 495992 630931 658784 721064 991984 1261862 1442128 1532261 1983968 2523724 2884256 3064522 5047448 6129044 10094896 10725827 12258088 20189792 21451654 24516176 42903308 49032352 85806616 171613232 343226464