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340004352 = 2931729449
BaseRepresentation
bin10100010001000…
…000111000000000
3212200210000021210
4110101000320000
51144020114402
653423250120
711265663222
oct2421007000
9780700253
10340004352
11164a18336
1295a49940
135559660c
1433228412
151ecb206c
hex14440e00

340004352 has 160 divisors (see below), whose sum is σ = 994356000. Its totient is φ = 102760448.

The previous prime is 340004347. The next prime is 340004383. The reversal of 340004352 is 253400043.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757024 + ... + 757472.

It is an arithmetic number, because the mean of its divisors is an integer number (6214725).

Almost surely, 2340004352 is an apocalyptic number.

340004352 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 340004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497178000).

340004352 is an abundant number, since it is smaller than the sum of its proper divisors (654351648).

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

340004352 is a wasteful number, since it uses less digits than its factorization.

340004352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 340004352 is about 18439.2069243772. The cubic root of 340004352 is about 697.9561826119.

Adding to 340004352 its reverse (253400043), we get a palindrome (593404395).

The spelling of 340004352 in words is "three hundred forty million, four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 128 136 174 192 204 232 256 272 348 384 408 449 464 493 512 544 696 768 816 898 928 986 1088 1347 1392 1479 1536 1632 1796 1856 1972 2176 2694 2784 2958 3264 3592 3712 3944 4352 5388 5568 5916 6528 7184 7424 7633 7888 8704 10776 11136 11832 13021 13056 14368 14848 15266 15776 21552 22272 22899 23664 26042 26112 28736 30532 31552 39063 43104 44544 45798 47328 52084 57472 61064 63104 78126 86208 91596 94656 104168 114944 122128 126208 156252 172416 183192 189312 208336 221357 229888 244256 252416 312504 344832 366384 378624 416672 442714 488512 625008 664071 689664 732768 757248 833344 885428 977024 1250016 1328142 1465536 1666688 1770856 1954048 2500032 2656284 2931072 3333376 3541712 3908096 5000064 5312568 5862144 6666752 7083424 10000128 10625136 11724288 14166848 20000256 21250272 28333696 42500544 56667392 85001088 113334784 170002176 340004352