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34443003272 = 23172931327901
BaseRepresentation
bin100000000100111101…
…101000010110001000
310021220101120212001212
4200010331220112020
51031014402101042
623453425032252
72326346461106
oct400475502610
9107811525055
1034443003272
11136751a5167
126812a85688
13332ba03912
14194a558c76
15d68c09482
hex804f68588

34443003272 has 64 divisors (see below), whose sum is σ = 70965946800. Its totient is φ = 15599001600.

The previous prime is 34443003247. The next prime is 34443003281. The reversal of 34443003272 is 27230034443.

It can be written as a sum of positive squares in 8 ways, for example, as 18721354276 + 15721648996 = 136826^2 + 125386^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1220522 + ... + 1248422.

Almost surely, 234443003272 is an apocalyptic number.

It is an amenable number.

34443003272 is an abundant number, since it is smaller than the sum of its proper divisors (36522943528).

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

34443003272 is a wasteful number, since it uses less digits than its factorization.

34443003272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28266 (or 28262 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 32.

The spelling of 34443003272 in words is "thirty-four billion, four hundred forty-three million, three thousand, two hundred seventy-two".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 313 493 626 986 1252 1972 2504 3944 5321 9077 10642 18154 21284 27901 36308 42568 55802 72616 111604 154309 223208 308618 474317 617236 809129 948634 1234472 1618258 1897268 3236516 3794536 6473032 8733013 13755193 17466026 27510386 34932052 55020772 69864104 110041544 148461221 253257377 296922442 506514754 593844884 1013029508 1187689768 2026059016 4305375409 8610750818 17221501636 34443003272