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3466164 = 22313171307
BaseRepresentation
bin1101001110001110110100
320112002200110
431032032310
51341404124
6202143020
741314302
oct15161664
96462613
103466164
111a581a9
1211b1a70
139448b0
14663272
15487029
hex34e3b4

3466164 has 48 divisors (see below), whose sum is σ = 9229248. Its totient is φ = 1003008.

The previous prime is 3466157. The next prime is 3466171. The reversal of 3466164 is 4616643.

It is an interprime number because it is at equal distance from previous prime (3466157) and next prime (3466171).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1999 + ... + 3305.

It is an arithmetic number, because the mean of its divisors is an integer number (192276).

Almost surely, 23466164 is an apocalyptic number.

3466164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614624).

3466164 is an abundant number, since it is smaller than the sum of its proper divisors (5763084).

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

3466164 is a wasteful number, since it uses less digits than its factorization.

3466164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1342 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 3466164 is about 1861.7636799551. The cubic root of 3466164 is about 151.3385966373.

The spelling of 3466164 in words is "three million, four hundred sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1307 1326 2614 2652 3921 5228 7842 15684 16991 22219 33982 44438 50973 66657 67964 88876 101946 133314 203892 266628 288847 577694 866541 1155388 1733082 3466164