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34215712620 = 223519127236329
BaseRepresentation
bin11111110111011010…
…100101011101101100
310021022112220021220120
4133313122211131230
51030033210300440
623415105244540
72320616521125
oct376732453554
9107275807816
1034215712620
1113568972351
12676a933750
1332c38b28cb
1419282b104c
15d53caddd0
hex7f76a576c

34215712620 has 96 divisors (see below), whose sum is σ = 101640806400. Its totient is φ = 8575870464.

The previous prime is 34215712613. The next prime is 34215712627. The reversal of 34215712620 is 2621751243.

It is an interprime number because it is at equal distance from previous prime (34215712613) and next prime (34215712627).

It is not an unprimeable number, because it can be changed into a prime (34215712627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26616 + ... + 262944.

It is an arithmetic number, because the mean of its divisors is an integer number (1058758400).

Almost surely, 234215712620 is an apocalyptic number.

34215712620 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 34215712620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50820403200).

34215712620 is an abundant number, since it is smaller than the sum of its proper divisors (67425093780).

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

34215712620 is a wasteful number, since it uses less digits than its factorization.

34215712620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236487 (or 236485 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 34215712620 in words is "thirty-four billion, two hundred fifteen million, seven hundred twelve thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 127 190 228 254 285 380 381 508 570 635 762 1140 1270 1524 1905 2413 2540 3810 4826 7239 7620 9652 12065 14478 24130 28956 36195 48260 72390 144780 236329 472658 708987 945316 1181645 1417974 2363290 2835948 3544935 4490251 4726580 7089870 8980502 13470753 14179740 17961004 22451255 26941506 30013783 44902510 53883012 60027566 67353765 89805020 90041349 120055132 134707530 150068915 180082698 269415060 300137830 360165396 450206745 570261877 600275660 900413490 1140523754 1710785631 1800826980 2281047508 2851309385 3421571262 5702618770 6843142524 8553928155 11405237540 17107856310 34215712620