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34234616040 = 2335461618847
BaseRepresentation
bin11111111000100010…
…101100100011101000
310021100212110200112020
4133320202230203220
51030103030203130
623421022344440
72321236302132
oct377042544350
9107325420466
1034234616040
1113578603809
12677512b120
1332c77a0b71
14192a9d2052
15d55794e10
hex7f88ac8e8

34234616040 has 64 divisors (see below), whose sum is σ = 102926799360. Its totient is φ = 9109413120.

The previous prime is 34234616027. The next prime is 34234616047. The reversal of 34234616040 is 4061643243.

It is a junction number, because it is equal to n+sod(n) for n = 34234615992 and 34234616010.

It is not an unprimeable number, because it can be changed into a prime (34234616047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254104 + ... + 364743.

It is an arithmetic number, because the mean of its divisors is an integer number (1608231240).

Almost surely, 234234616040 is an apocalyptic number.

34234616040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34234616040 is an abundant number, since it is smaller than the sum of its proper divisors (68692183320).

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

34234616040 is a wasteful number, since it uses less digits than its factorization.

34234616040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619322 (or 619318 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 34234616040 in words is "thirty-four billion, two hundred thirty-four million, six hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 461 922 1383 1844 2305 2766 3688 4610 5532 6915 9220 11064 13830 18440 27660 55320 618847 1237694 1856541 2475388 3094235 3713082 4950776 6188470 7426164 9282705 12376940 14852328 18565410 24753880 37130820 74261640 285288467 570576934 855865401 1141153868 1426442335 1711730802 2282307736 2852884670 3423461604 4279327005 5705769340 6846923208 8558654010 11411538680 17117308020 34234616040