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3431203020 = 22325723118399
BaseRepresentation
bin1100110010000100…
…0000000011001100
322212010102011200100
43030201000003030
524011341444040
61324250331100
7151012513230
oct31441000314
98763364610
103431203020
111500908683
127b9129a90
13428b2c55b
142479b05c0
1515136cb30
hexcc8400cc

3431203020 has 144 divisors (see below), whose sum is σ = 12412108800. Its totient is φ = 750169728.

The previous prime is 3431203001. The next prime is 3431203051. The reversal of 3431203020 is 203021343.

3431203020 is a `hidden beast` number, since 343 + 1 + 20 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3431202984 and 3431203002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30220 + ... + 88179.

It is an arithmetic number, because the mean of its divisors is an integer number (86195200).

Almost surely, 23431203020 is an apocalyptic number.

3431203020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3431203020 is an abundant number, since it is smaller than the sum of its proper divisors (8980905780).

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

3431203020 is a wasteful number, since it uses less digits than its factorization.

3431203020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118444 (or 118439 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3431203020 is about 58576.4715564193. The cubic root of 3431203020 is about 1508.2805772444.

Adding to 3431203020 its reverse (203021343), we get a palindrome (3634224363).

The spelling of 3431203020 in words is "three billion, four hundred thirty-one million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 28980 118399 236798 355197 473596 591995 710394 828793 1065591 1183990 1420788 1657586 1775985 2131182 2367980 2486379 2723177 3315172 3551970 4143965 4262364 4972758 5327955 5446354 7103940 7459137 8169531 8287930 9945516 10655910 10892708 12431895 13615885 14918274 16339062 16575860 19062239 21311820 24508593 24863790 27231770 29836548 32678124 37295685 38124478 40847655 49017186 49727580 54463540 57186717 74591370 76248956 81695310 95311195 98034372 114373434 122542965 149182740 163390620 171560151 190622390 228746868 245085930 285933585 343120302 381244780 490171860 571867170 686240604 857800755 1143734340 1715601510 3431203020