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34231202304 = 2931315111353
BaseRepresentation
bin11111111000010101…
…101011001000000000
310021100122001020202120
4133320111223020000
51030101141433204
623420421244240
72321165263425
oct377025531000
9107318036676
1034231202304
1113576691a42
126773b63680
1332c6b770c0
14192a383d4c
15d5531d6d9
hex7f856b200

34231202304 has 160 divisors (see below), whose sum is σ = 98868088704. Its totient is φ = 10462003200.

The previous prime is 34231202303. The next prime is 34231202407. The reversal of 34231202304 is 40320213243.

It is a super-3 number, since 3×342312023043 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34231202303) 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, 3009492 + ... + 3020844.

Almost surely, 234231202304 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 34231202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49434044352).

34231202304 is an abundant number, since it is smaller than the sum of its proper divisors (64636886400).

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

34231202304 is a wasteful number, since it uses less digits than its factorization.

34231202304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11538 (or 11522 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34231202304 its reverse (40320213243), we get a palindrome (74551415547).

The spelling of 34231202304 in words is "thirty-four billion, two hundred thirty-one million, two hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 151 156 192 208 256 302 312 384 416 453 512 604 624 768 832 906 1208 1248 1536 1664 1812 1963 2416 2496 3328 3624 3926 4832 4992 5889 6656 7248 7852 9664 9984 11353 11778 14496 15704 19328 19968 22706 23556 28992 31408 34059 38656 45412 47112 57984 62816 68118 77312 90824 94224 115968 125632 136236 147589 181648 188448 231936 251264 272472 295178 363296 376896 442767 502528 544944 590356 726592 753792 885534 1005056 1089888 1180712 1453184 1507584 1714303 1771068 2179776 2361424 2906368 3015168 3428606 3542136 4359552 4722848 5142909 5812736 6857212 7084272 8719104 9445696 10285818 13714424 14168544 17438208 18891392 20571636 22285939 27428848 28337088 37782784 41143272 44571878 54857696 56674176 66857817 75565568 82286544 89143756 109715392 113348352 133715634 164573088 178287512 219430784 226696704 267431268 329146176 356575024 438861568 534862536 658292352 713150048 877723136 1069725072 1316584704 1426300096 2139450144 2633169408 2852600192 4278900288 5705200384 8557800576 11410400768 17115601152 34231202304