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343433640 = 233511534909
BaseRepresentation
bin10100011110000…
…110000110101000
3212221020020101110
4110132012012220
51200404334030
654024550320
711340065154
oct2436060650
9787206343
10343433640
1116694a860
12970223a0
13561c7494
143387c064
152023d1b0
hex147861a8

343433640 has 128 divisors (see below), whose sum is σ = 1145404800. Its totient is φ = 81669120.

The previous prime is 343433639. The next prime is 343433687. The reversal of 343433640 is 46334343.

343433640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 343433598 and 343433607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67506 + ... + 72414.

It is an arithmetic number, because the mean of its divisors is an integer number (8948475).

Almost surely, 2343433640 is an apocalyptic number.

343433640 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 343433640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572702400).

343433640 is an abundant number, since it is smaller than the sum of its proper divisors (801971160).

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

343433640 is a wasteful number, since it uses less digits than its factorization.

343433640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

The square root of 343433640 is about 18531.9626591465. The cubic root of 343433640 is about 700.2948689688.

Adding to 343433640 its reverse (46334343), we get a palindrome (389767983).

The spelling of 343433640 in words is "three hundred forty-three million, four hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 424 440 530 583 636 660 795 1060 1166 1272 1320 1590 1749 2120 2332 2915 3180 3498 4664 4909 5830 6360 6996 8745 9818 11660 13992 14727 17490 19636 23320 24545 29454 34980 39272 49090 53999 58908 69960 73635 98180 107998 117816 147270 161997 196360 215996 260177 269995 294540 323994 431992 520354 539990 589080 647988 780531 809985 1040708 1079980 1295976 1300885 1561062 1619970 2081416 2159960 2601770 2861947 3122124 3239940 3902655 5203540 5723894 6244248 6479880 7805310 8585841 10407080 11447788 14309735 15610620 17171682 22895576 28619470 31221240 34343364 42929205 57238940 68686728 85858410 114477880 171716820 343433640