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34696365312 = 28373131713
BaseRepresentation
bin100000010100000100…
…001000010100000000
310022120001022222110010
4200110010020110000
51032024232142222
623534515304520
72335544145000
oct402404102400
9108501288403
1034696365312
1113795214884
1268838ab140
13336c35269b
14197206c000
15d810a480c
hex814108500

34696365312 has 144 divisors (see below), whose sum is σ = 107689366400. Its totient is φ = 9913171968.

The previous prime is 34696365307. The next prime is 34696365377. The reversal of 34696365312 is 21356369643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 197568 + ... + 329280.

Almost surely, 234696365312 is an apocalyptic number.

34696365312 is a gapful number since it is divisible by the number (32) 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 34696365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53844683200).

34696365312 is an abundant number, since it is smaller than the sum of its proper divisors (72993001088).

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

34696365312 is an equidigital number, since it uses as much as digits as its factorization.

34696365312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131753 (or 131725 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 48.

The spelling of 34696365312 in words is "thirty-four billion, six hundred ninety-six million, three hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 384 392 448 588 672 686 768 784 896 1029 1176 1344 1372 1568 1792 2058 2352 2688 2744 3136 4116 4704 5376 5488 6272 8232 9408 10976 12544 16464 18816 21952 32928 37632 43904 65856 87808 131712 131713 263424 263426 395139 526852 790278 921991 1053704 1580556 1843982 2107408 2765973 3161112 3687964 4214816 5531946 6322224 6453937 7375928 8429632 11063892 12644448 12907874 14751856 16859264 19361811 22127784 25288896 25815748 29503712 33718528 38723622 44255568 45177559 50577792 51631496 59007424 77447244 88511136 90355118 101155584 103262992 118014848 135532677 154894488 177022272 180710236 206525984 236029696 271065354 309788976 354044544 361420472 413051968 542130708 619577952 708089088 722840944 826103936 1084261416 1239155904 1445681888 1652207872 2168522832 2478311808 2891363776 4337045664 4956623616 5782727552 8674091328 11565455104 17348182656 34696365312