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343422264 = 233191315749
BaseRepresentation
bin10100011110000…
…011010100111000
3212221012122210010
4110132003110320
51200404003024
654024421520
711340020043
oct2436032470
9787178703
10343422264
11166942259
12970178a0
13561c2253
1433877c5a
1520239b29
hex14783538

343422264 has 64 divisors (see below), whose sum is σ = 910800000. Its totient is φ = 107602560.

The previous prime is 343422257. The next prime is 343422281. The reversal of 343422264 is 462224343.

It is a nude number because it is divisible by every one of its digits.

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, 56862 + ... + 62610.

It is an arithmetic number, because the mean of its divisors is an integer number (14231250).

Almost surely, 2343422264 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 343422264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455400000).

343422264 is an abundant number, since it is smaller than the sum of its proper divisors (567377736).

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

343422264 is a wasteful number, since it uses less digits than its factorization.

343422264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5904 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 343422264 is about 18531.6557274303. The cubic root of 343422264 is about 700.2871366236.

The spelling of 343422264 in words is "three hundred forty-three million, four hundred twenty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 131 152 228 262 393 456 524 786 1048 1572 2489 3144 4978 5749 7467 9956 11498 14934 17247 19912 22996 29868 34494 45992 59736 68988 109231 137976 218462 327693 436924 655386 753119 873848 1310772 1506238 2259357 2621544 3012476 4518714 6024952 9037428 14309261 18074856 28618522 42927783 57237044 85855566 114474088 171711132 343422264