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34271755720 = 2352997130427
BaseRepresentation
bin11111111010110000…
…010111110111001000
310021110110100120120221
4133322300113313020
51030142032140340
623424430355424
72322200055106
oct377260276710
9107413316527
1034271755720
1113597570364
12678565bb74
1333023a57c7
1419318dcc76
15d58b7e44a
hex7fac17dc8

34271755720 has 64 divisors (see below), whose sum is σ = 79855243200. Its totient is φ = 13221922560.

The previous prime is 34271755711. The next prime is 34271755733. The reversal of 34271755720 is 2755717243.

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, 1111147 + ... + 1141573.

It is an arithmetic number, because the mean of its divisors is an integer number (1247738175).

Almost surely, 234271755720 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 34271755720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39927621600).

34271755720 is an abundant number, since it is smaller than the sum of its proper divisors (45583487480).

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

34271755720 is a wasteful number, since it uses less digits than its factorization.

34271755720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31438 (or 31434 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 43.

The spelling of 34271755720 in words is "thirty-four billion, two hundred seventy-one million, seven hundred fifty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 971 1160 1942 3884 4855 7768 9710 19420 28159 30427 38840 56318 60854 112636 121708 140795 152135 225272 243416 281590 304270 563180 608540 882383 1126360 1217080 1764766 3529532 4411915 7059064 8823830 17647660 29544617 35295320 59089234 118178468 147723085 236356936 295446170 590892340 856793893 1181784680 1713587786 3427175572 4283969465 6854351144 8567938930 17135877860 34271755720