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34232326040 = 235111033791993
BaseRepresentation
bin11111111000011001…
…111101011110011000
310021100201011100020102
4133320121331132120
51030101433413130
623420501314532
72321210653553
oct377031753630
9107321140212
1034232326040
111357728a250
126774405a48
1332c717b733
14192a59769a
15d55491645
hex7f867d798

34232326040 has 128 divisors (see below), whose sum is σ = 85107110400. Its totient is φ = 12288568320.

The previous prime is 34232326039. The next prime is 34232326043. The reversal of 34232326040 is 4062323243.

It is a super-2 number, since 2×342323260402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34232325994 and 34232326012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34232326043) 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, 17175284 + ... + 17177276.

It is an arithmetic number, because the mean of its divisors is an integer number (664899300).

Almost surely, 234232326040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34232326040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42553555200).

34232326040 is an abundant number, since it is smaller than the sum of its proper divisors (50874784360).

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

34232326040 is a wasteful number, since it uses less digits than its factorization.

34232326040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 34232326040 its reverse (4062323243), we get a palindrome (38294649283).

The spelling of 34232326040 in words is "thirty-four billion, two hundred thirty-two million, three hundred twenty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 379 412 440 515 758 824 1030 1133 1516 1895 1993 2060 2266 3032 3790 3986 4120 4169 4532 5665 7580 7972 8338 9064 9965 11330 15160 15944 16676 19930 20845 21923 22660 33352 39037 39860 41690 43846 45320 78074 79720 83380 87692 109615 156148 166760 175384 195185 205279 219230 312296 390370 410558 429407 438460 755347 780740 821116 858814 876920 1026395 1510694 1561480 1642232 1717628 2052790 2147035 2258069 3021388 3435256 3776735 4105580 4294070 4516138 6042776 7553470 8211160 8308817 8588140 9032276 11290345 15106940 16617634 17176280 18064552 22580690 30213880 33235268 41544085 45161380 66470536 77800741 83088170 90322760 155601482 166176340 311202964 332352680 389003705 622405928 778007410 855808151 1556014820 1711616302 3112029640 3423232604 4279040755 6846465208 8558081510 17116163020 34232326040