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34440033450 = 23526711872887
BaseRepresentation
bin100000000100110010…
…010011010010101010
310021220011222222020110
4200010302103102222
51031013122032300
623453241235150
72326312311534
oct400462232252
9107804888213
1034440033450
1113673556969
126811a92ab6
13332b203c24
141949dc4854
15d6881e550
hex804c934aa

34440033450 has 96 divisors (see below), whose sum is σ = 86789159424. Its totient is φ = 9036181440.

The previous prime is 34440033413. The next prime is 34440033521. The reversal of 34440033450 is 5433004443.

It is a super-2 number, since 2×344400334502 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 11927907 + ... + 11930793.

It is an arithmetic number, because the mean of its divisors is an integer number (904053744).

Almost surely, 234440033450 is an apocalyptic number.

34440033450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34440033450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43394579712).

34440033450 is an abundant number, since it is smaller than the sum of its proper divisors (52349125974).

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

34440033450 is a wasteful number, since it uses less digits than its factorization.

34440033450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 34440033450 its reverse (5433004443), we get a palindrome (39873037893).

The spelling of 34440033450 in words is "thirty-four billion, four hundred forty million, thirty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 335 402 670 1005 1187 1675 2010 2374 2887 3350 3561 5025 5774 5935 7122 8661 10050 11870 14435 17322 17805 28870 29675 35610 43305 59350 72175 79529 86610 89025 144350 159058 178050 193429 216525 238587 386858 397645 433050 477174 580287 795290 967145 1160574 1192935 1934290 1988225 2385870 2901435 3426869 3976450 4835725 5802870 5964675 6853738 9671450 10280607 11929350 14507175 17134345 20561214 29014350 34268690 51403035 85671725 102806070 171343450 229600223 257015175 459200446 514030350 688800669 1148001115 1377601338 2296002230 3444003345 5740005575 6888006690 11480011150 17220016725 34440033450