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34281263104 = 2121122632
BaseRepresentation
bin11111111011010100…
…101001000000000000
310021111010020121021021
4133323110221000000
51030202000404404
623425410235224
72322343633324
oct377324510000
9107433217237
1034281263104
11135a1974400
126788885b14
13330435408a
141932c95984
15d5990b454
hex7fb529000

34281263104 has 117 divisors (see below), whose sum is σ = 75640518499. Its totient is φ = 15523143680.

The previous prime is 34281263101. The next prime is 34281263141. The reversal of 34281263104 is 40136218243.

The square root of 34281263104 is 185152.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34281263104.

It is not an unprimeable number, because it can be changed into a prime (34281263101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 130346877 + ... + 130347139.

Almost surely, 234281263104 is an apocalyptic number.

34281263104 is the 185152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34281263104

34281263104 is an abundant number, since it is smaller than the sum of its proper divisors (41359255395).

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

34281263104 is an frugal number, since it uses more digits than its factorization.

34281263104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 34281263104 in words is "thirty-four billion, two hundred eighty-one million, two hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 263 352 484 512 526 704 968 1024 1052 1408 1936 2048 2104 2816 2893 3872 4096 4208 5632 5786 7744 8416 11264 11572 15488 16832 22528 23144 30976 31823 33664 45056 46288 61952 63646 67328 69169 92576 123904 127292 134656 138338 185152 247808 254584 269312 276676 370304 495616 509168 538624 553352 740608 760859 1018336 1077248 1106704 1481216 1521718 2036672 2213408 2962432 3043436 4073344 4426816 5924864 6086872 8146688 8369449 8853632 11849728 12173744 16293376 16738898 17707264 24347488 32586752 33477796 35414528 48694976 65173504 66955592 70829056 97389952 130347008 133911184 141658112 194779904 267822368 283316224 389559808 535644736 779119616 1071289472 1558239232 2142578944 3116478464 4285157888 8570315776 17140631552 34281263104