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2943235840 = 28517413299
BaseRepresentation
bin1010111101101110…
…0011011100000000
321121010012212112211
42233123203130000
522011432021330
61204015431504
7132636043336
oct25733433400
97533185484
102943235840
11128041a716
126a1825594
1337b9cb38c
141dcc6bb56
151235ced2a
hexaf6e3700

2943235840 has 144 divisors (see below), whose sum is σ = 7649056800. Its totient is φ = 1080688640.

The previous prime is 2943235817. The next prime is 2943235853. The reversal of 2943235840 is 485323492.

2943235840 is digitally balanced in base 2, 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 2943235793 and 2943235802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 890511 + ... + 893809.

It is an arithmetic number, because the mean of its divisors is an integer number (53118450).

Almost surely, 22943235840 is an apocalyptic number.

2943235840 is a gapful number since it is divisible by the number (20) 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 2943235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824528400).

2943235840 is an abundant number, since it is smaller than the sum of its proper divisors (4705820960).

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

2943235840 is a wasteful number, since it uses less digits than its factorization.

2943235840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 2943235840 is about 54251.5975801635. The cubic root of 2943235840 is about 1433.0951330625.

The spelling of 2943235840 in words is "two billion, nine hundred forty-three million, two hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 64 68 80 82 85 128 136 160 164 170 205 256 272 320 328 340 410 544 640 656 680 697 820 1088 1280 1312 1360 1394 1640 2176 2624 2720 2788 3280 3299 3485 4352 5248 5440 5576 6560 6598 6970 10496 10880 11152 13120 13196 13940 16495 21760 22304 26240 26392 27880 32990 44608 52480 52784 55760 56083 65980 89216 105568 111520 112166 131960 135259 178432 211136 223040 224332 263920 270518 280415 422272 446080 448664 527840 541036 560830 676295 844544 892160 897328 1055680 1082072 1121660 1352590 1794656 2111360 2164144 2243320 2299403 2705180 3589312 4222720 4328288 4486640 4598806 5410360 7178624 8656576 8973280 9197612 10820720 11497015 14357248 17313152 17946560 18395224 21641440 22994030 34626304 35893120 36790448 43282880 45988060 71786240 73580896 86565760 91976120 147161792 173131520 183952240 294323584 367904480 588647168 735808960 1471617920 2943235840