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3354088164 = 22371916312893
BaseRepresentation
bin1100011111101011…
…0101001011100100
322122202022022222120
43013322311023210
523332121310124
61312453425540
7146055164460
oct30772651344
98582268876
103354088164
111471328099
1279733b2b0
13415b6c46b
1423b6594a0
151496d8d79
hexc7eb52e4

3354088164 has 96 divisors (see below), whose sum is σ = 9473479680. Its totient is φ = 902233728.

The previous prime is 3354088163. The next prime is 3354088169. The reversal of 3354088164 is 4618804533.

It is a super-2 number, since 2×33540881642 = 22499814823769781792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3354088163) 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, 253702 + ... + 266594.

It is an arithmetic number, because the mean of its divisors is an integer number (98682080).

Almost surely, 23354088164 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 3354088164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736739840).

3354088164 is an abundant number, since it is smaller than the sum of its proper divisors (6119391516).

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

3354088164 is a wasteful number, since it uses less digits than its factorization.

3354088164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13089 (or 13087 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 3354088164 is about 57914.4901039455. The cubic root of 3354088164 is about 1496.8955294968.

The spelling of 3354088164 in words is "three billion, three hundred fifty-four million, eighty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 163 228 266 326 399 489 532 652 798 978 1141 1596 1956 2282 3097 3423 4564 6194 6846 9291 12388 12893 13692 18582 21679 25786 37164 38679 43358 51572 65037 77358 86716 90251 130074 154716 180502 244967 260148 270753 361004 489934 541506 734901 979868 1083012 1469802 1714769 2101559 2939604 3429538 4203118 5144307 6304677 6859076 8406236 10288614 12609354 14710913 20577228 25218708 29421826 39929621 44132739 58843652 79859242 88265478 119788863 159718484 176530956 239577726 279507347 479155452 559014694 838522041 1118029388 1677044082 3354088164