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2534670336 = 218311293
BaseRepresentation
bin1001011100010100…
…0000000000000000
320112122102121001010
42113011000000000
520142333422321
61055302440520
7116545225302
oct22705000000
96478377033
102534670336
111090834380
125a8a33140
1331517b143
141a08b7972
15ec7c8676
hex97140000

2534670336 has 152 divisors (see below), whose sum is σ = 7398738144. Its totient is φ = 765460480.

The previous prime is 2534670331. The next prime is 2534670371. The reversal of 2534670336 is 6330764352.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2534670294 and 2534670303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534670331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8650606 + ... + 8650898.

Almost surely, 22534670336 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 2534670336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699369072).

2534670336 is an abundant number, since it is smaller than the sum of its proper divisors (4864067808).

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

2534670336 is an frugal number, since it uses more digits than its factorization.

2534670336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 39.

The square root of 2534670336 is about 50345.5095912237. The cubic root of 2534670336 is about 1363.4540116048.

The spelling of 2534670336 in words is "two billion, five hundred thirty-four million, six hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 293 352 384 512 528 586 704 768 879 1024 1056 1172 1408 1536 1758 2048 2112 2344 2816 3072 3223 3516 4096 4224 4688 5632 6144 6446 7032 8192 8448 9376 9669 11264 12288 12892 14064 16384 16896 18752 19338 22528 24576 25784 28128 32768 33792 37504 38676 45056 49152 51568 56256 65536 67584 75008 77352 90112 98304 103136 112512 131072 135168 150016 154704 180224 196608 206272 225024 262144 270336 300032 309408 360448 393216 412544 450048 540672 600064 618816 720896 786432 825088 900096 1081344 1200128 1237632 1441792 1650176 1800192 2162688 2400256 2475264 2883584 3300352 3600384 4325376 4800512 4950528 6600704 7200768 8650752 9601024 9901056 13201408 14401536 19202048 19802112 26402816 28803072 38404096 39604224 52805632 57606144 76808192 79208448 105611264 115212288 158416896 211222528 230424576 316833792 422445056 633667584 844890112 1267335168 2534670336