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343431480 = 233571073821
BaseRepresentation
bin10100011110000…
…101100100111000
3212221020010102110
4110132011210320
51200404301410
654024532320
711340055650
oct2436054470
9787203373
10343431480
11166949177
12970210a0
13561c64c2
143387b360
152023c720
hex14785938

343431480 has 128 divisors (see below), whose sum is σ = 1188794880. Its totient is φ = 77744640.

The previous prime is 343431461. The next prime is 343431499. The reversal of 343431480 is 84134343.

343431480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (343431461) and next prime (343431499).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 87970 + ... + 91790.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2343431480 is an apocalyptic number.

343431480 is a gapful number since it is divisible by the number (30) 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 343431480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

343431480 is an abundant number, since it is smaller than the sum of its proper divisors (845363400).

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

343431480 is a wasteful number, since it uses less digits than its factorization.

343431480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 343431480 is about 18531.9043813635. The cubic root of 343431480 is about 700.2934008151.

The spelling of 343431480 in words is "three hundred forty-three million, four hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 107 120 140 168 210 214 280 321 420 428 535 642 749 840 856 1070 1284 1498 1605 2140 2247 2568 2996 3210 3745 3821 4280 4494 5992 6420 7490 7642 8988 11235 11463 12840 14980 15284 17976 19105 22470 22926 26747 29960 30568 38210 44940 45852 53494 57315 76420 80241 89880 91704 106988 114630 133735 152840 160482 213976 229260 267470 320964 401205 408847 458520 534940 641928 802410 817694 1069880 1226541 1604820 1635388 2044235 2453082 2861929 3209640 3270776 4088470 4906164 5723858 6132705 8176940 8585787 9812328 11447716 12265410 14309645 16353880 17171574 22895432 24530820 28619290 34343148 42928935 49061640 57238580 68686296 85857870 114477160 171715740 343431480