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3402248136 = 2337231376427
BaseRepresentation
bin1100101011001010…
…0010111111001000
322210002221010001020
43022302202333020
523431433420021
61321333552440
7150211426530
oct31262427710
98702833036
103402248136
111496531421
127ab4a5720
13422b321a1
14243bd44c0
1514da4d7c6
hexcaca2fc8

3402248136 has 128 divisors (see below), whose sum is σ = 10218977280. Its totient is φ = 922876416.

The previous prime is 3402248117. The next prime is 3402248137. The reversal of 3402248136 is 6318422043.

3402248136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3402248097 and 3402248106.

It is not an unprimeable number, because it can be changed into a prime (3402248137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526155 + ... + 532581.

It is an arithmetic number, because the mean of its divisors is an integer number (79835760).

Almost surely, 23402248136 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 3402248136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109488640).

3402248136 is an abundant number, since it is smaller than the sum of its proper divisors (6816729144).

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

3402248136 is a wasteful number, since it uses less digits than its factorization.

3402248136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3402248136 is about 58328.7933699987. The cubic root of 3402248136 is about 1504.0259457290.

The spelling of 3402248136 in words is "three billion, four hundred two million, two hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 137 138 161 168 184 274 276 322 411 483 548 552 644 822 959 966 1096 1288 1644 1918 1932 2877 3151 3288 3836 3864 5754 6302 6427 7672 9453 11508 12604 12854 18906 19281 22057 23016 25208 25708 37812 38562 44114 44989 51416 66171 75624 77124 88228 89978 132342 134967 147821 154248 176456 179956 264684 269934 295642 359912 443463 529368 539868 591284 880499 886926 1034747 1079736 1182568 1760998 1773852 2069494 2641497 3104241 3521996 3547704 4138988 5282994 6163493 6208482 7043992 8277976 10565988 12326986 12416964 18490479 20251477 21131976 24653972 24833928 36980958 40502954 49307944 60754431 73961916 81005908 121508862 141760339 147923832 162011816 243017724 283520678 425281017 486035448 567041356 850562034 1134082712 1701124068 3402248136