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343421624 = 237131727749
BaseRepresentation
bin10100011110000…
…011001010111000
3212221012121220102
4110132003022320
51200403442444
654024414532
711340015140
oct2436031270
9787177812
10343421624
11166941827
1297017448
13561c1b80
1433877920
152023984e
hex147832b8

343421624 has 64 divisors (see below), whose sum is σ = 839160000. Its totient is φ = 127862784.

The previous prime is 343421597. The next prime is 343421677. The reversal of 343421624 is 426124343.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 1499 + ... + 26250.

It is an arithmetic number, because the mean of its divisors is an integer number (13111875).

Almost surely, 2343421624 is an apocalyptic number.

343421624 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 343421624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419580000).

343421624 is an abundant number, since it is smaller than the sum of its proper divisors (495738376).

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

343421624 is a wasteful number, since it uses less digits than its factorization.

343421624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27792 (or 27788 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

The square root of 343421624 is about 18531.6384596722. The cubic root of 343421624 is about 700.2867016061.

Adding to 343421624 its reverse (426124343), we get a palindrome (769545967).

The spelling of 343421624 in words is "three hundred forty-three million, four hundred twenty-one thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1547 1768 3094 6188 12376 27749 55498 110996 194243 221992 360737 388486 471733 721474 776972 943466 1442948 1553944 1886932 2525159 2885896 3302131 3773864 5050318 6132529 6604262 10100636 12265058 13208524 20201272 24530116 26417048 42927703 49060232 85855406 171710812 343421624