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4345835472 = 2432116740949
BaseRepresentation
bin1000000110000100…
…00010111111010000
3102012212110022112100
410003002002333100
532400013213342
61555122200400
7212456664156
oct40302027720
912185408470
104345835472
111930124570
12a134b3100
1354347a1a4
142d32593d6
151a67d9e4c
hex103082fd0

4345835472 has 120 divisors (see below), whose sum is σ = 13466325600. Its totient is φ = 1297232640.

The previous prime is 4345835437. The next prime is 4345835509. The reversal of 4345835472 is 2745385434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85654 + ... + 126602.

It is an arithmetic number, because the mean of its divisors is an integer number (112219380).

Almost surely, 24345835472 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 4345835472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733162800).

4345835472 is an abundant number, since it is smaller than the sum of its proper divisors (9120490128).

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

4345835472 is a wasteful number, since it uses less digits than its factorization.

4345835472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41041 (or 41032 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The square root of 4345835472 is about 65922.9510261790. The cubic root of 4345835472 is about 1631.8907979123.

The spelling of 4345835472 in words is "four billion, three hundred forty-five million, eight hundred thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 67 72 88 99 132 134 144 176 198 201 264 268 396 402 528 536 603 737 792 804 1072 1206 1474 1584 1608 2211 2412 2948 3216 4422 4824 5896 6633 8844 9648 11792 13266 17688 26532 35376 40949 53064 81898 106128 122847 163796 245694 327592 368541 450439 491388 655184 737082 900878 982776 1351317 1474164 1801756 1965552 2702634 2743583 2948328 3603512 4053951 5405268 5487166 5896656 7207024 8107902 8230749 10810536 10974332 16215804 16461498 21621072 21948664 24692247 30179413 32431608 32922996 43897328 49384494 60358826 64863216 65845992 90538239 98768988 120717652 131691984 181076478 197537976 241435304 271614717 362152956 395075952 482870608 543229434 724305912 1086458868 1448611824 2172917736 4345835472