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3439342944 = 253410712401
BaseRepresentation
bin1100110100000000…
…0011010101100000
322212200201201120000
43031000003111200
524020432433234
61325141020000
7151141634622
oct31500032540
98780651500
103439342944
111505468294
127bb9b4600
1342a71c58b
14248accc12
15151e29899
hexcd003560

3439342944 has 120 divisors (see below), whose sum is σ = 10210368168. Its totient is φ = 1135641600.

The previous prime is 3439342901. The next prime is 3439342987. The reversal of 3439342944 is 4492439343.

It is an interprime number because it is at equal distance from previous prime (3439342901) and next prime (3439342987).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3439342944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 271144 + ... + 283544.

Almost surely, 23439342944 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 3439342944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105184084).

3439342944 is an abundant number, since it is smaller than the sum of its proper divisors (6771025224).

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

3439342944 is a wasteful number, since it uses less digits than its factorization.

3439342944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12530 (or 12513 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 3439342944 is about 58645.9115710550. The cubic root of 3439342944 is about 1509.4723452051.

The spelling of 3439342944 in words is "three billion, four hundred thirty-nine million, three hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 107 108 144 162 214 216 288 321 324 428 432 642 648 856 864 963 1284 1296 1712 1926 2568 2592 2889 3424 3852 5136 5778 7704 8667 10272 11556 12401 15408 17334 23112 24802 30816 34668 37203 46224 49604 69336 74406 92448 99208 111609 138672 148812 198416 223218 277344 297624 334827 396832 446436 595248 669654 892872 1004481 1190496 1326907 1339308 1785744 2008962 2653814 2678616 3571488 3980721 4017924 5307628 5357232 7961442 8035848 10615256 10714464 11942163 15922884 16071696 21230512 23884326 31845768 32143392 35826489 42461024 47768652 63691536 71652978 95537304 107479467 127383072 143305956 191074608 214958934 286611912 382149216 429917868 573223824 859835736 1146447648 1719671472 3439342944