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3473234040 = 2335239347349
BaseRepresentation
bin1100111100000101…
…0101100001111000
322222001111120101210
43033001111201320
524103121442130
61332351243120
7152033000523
oct31701254170
98861446353
103473234040
111522606161
1280b2194a0
13434757693
1424d3d1bba
15154dc15b0
hexcf055878

3473234040 has 128 divisors (see below), whose sum is σ = 10523520000. Its totient is φ = 917027328.

The previous prime is 3473234021. The next prime is 3473234041. The reversal of 3473234040 is 404323743.

It is a super-2 number, since 2×34732340402 = 24126709393229443200, which contains 22 as substring.

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 = 3473233989 and 3473234007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3473234041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9951786 + ... + 9952134.

It is an arithmetic number, because the mean of its divisors is an integer number (82215000).

Almost surely, 23473234040 is an apocalyptic number.

3473234040 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 3473234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261760000).

3473234040 is an abundant number, since it is smaller than the sum of its proper divisors (7050285960).

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

3473234040 is a wasteful number, since it uses less digits than its factorization.

3473234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 30.

The square root of 3473234040 is about 58934.1500320485. The cubic root of 3473234040 is about 1514.4142340021.

Adding to 3473234040 its reverse (404323743), we get a palindrome (3877557783).

The spelling of 3473234040 in words is "three billion, four hundred seventy-three million, two hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 347 349 478 694 698 717 956 1041 1047 1195 1388 1396 1434 1735 1745 1912 2082 2094 2390 2776 2792 2868 3470 3490 3585 4164 4188 4780 5205 5235 5736 6940 6980 7170 8328 8376 9560 10410 10470 13880 13960 14340 20820 20940 28680 41640 41880 82933 83411 121103 165866 166822 242206 248799 250233 331732 333644 363309 414665 417055 484412 497598 500466 605515 663464 667288 726618 829330 834110 968824 995196 1000932 1211030 1243995 1251165 1453236 1658660 1668220 1816545 1990392 2001864 2422060 2487990 2502330 2906472 3317320 3336440 3633090 4844120 4975980 5004660 7266180 9951960 10009320 14532360 28943617 57887234 86830851 115774468 144718085 173661702 231548936 289436170 347323404 434154255 578872340 694646808 868308510 1157744680 1736617020 3473234040