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3465620448 = 253314128403
BaseRepresentation
bin1100111010010001…
…0010101111100000
322221112011202111220
43032210102233200
524044144323243
61331520135040
7151611200463
oct31644225740
98845152456
103465620448
111519285a34
12808767480
13432cc00b4
1424c3ad2da
151543ba783
hexce912be0

3465620448 has 96 divisors (see below), whose sum is σ = 9620093952. Its totient is φ = 1090636800.

The previous prime is 3465620443. The next prime is 3465620449. The reversal of 3465620448 is 8440265643.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3465620441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107815 + ... + 136217.

It is an arithmetic number, because the mean of its divisors is an integer number (100209312).

Almost surely, 23465620448 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 3465620448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810046976).

3465620448 is an abundant number, since it is smaller than the sum of its proper divisors (6154473504).

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

3465620448 is a wasteful number, since it uses less digits than its factorization.

3465620448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28488 (or 28480 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 3465620448 is about 58869.5205348235. The cubic root of 3465620448 is about 1513.3068542312.

The spelling of 3465620448 in words is "three billion, four hundred sixty-five million, six hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 82 93 96 123 124 164 186 246 248 328 372 492 496 656 744 984 992 1271 1312 1488 1968 2542 2976 3813 3936 5084 7626 10168 15252 20336 28403 30504 40672 56806 61008 85209 113612 122016 170418 227224 340836 454448 681672 880493 908896 1164523 1363344 1760986 2329046 2641479 2726688 3493569 3521972 4658092 5282958 6987138 7043944 9316184 10565916 13974276 14087888 18632368 21131832 27948552 28175776 36100213 37264736 42263664 55897104 72200426 84527328 108300639 111794208 144400852 216601278 288801704 433202556 577603408 866405112 1155206816 1732810224 3465620448