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166000340 = 2251119151263
BaseRepresentation
bin10011110010011…
…11011011010100
3102120100200122202
421321033123110
5314444002330
624245544032
74053660002
oct1171173324
9376320582
10166000340
1185780570
1247715018
132851196c
1418091a72
15e890445
hex9e4f6d4

166000340 has 96 divisors (see below), whose sum is σ = 404490240. Its totient is φ = 56592000.

The previous prime is 166000313. The next prime is 166000357. The reversal of 166000340 is 43000661.

It is a super-2 number, since 2×1660003402 = 55112225760231200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631049 + ... + 631311.

It is an arithmetic number, because the mean of its divisors is an integer number (4213440).

Almost surely, 2166000340 is an apocalyptic number.

166000340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

166000340 is the 10520-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202245120).

166000340 is an abundant number, since it is smaller than the sum of its proper divisors (238489900).

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

166000340 is a wasteful number, since it uses less digits than its factorization.

166000340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 166000340 is about 12884.1119212773. Note that the first 3 decimals coincide. The cubic root of 166000340 is about 549.5868412289.

It can be divided in two parts, 166000 and 340, that multiplied together give a triangular number (56440000 = T10624).

The spelling of 166000340 in words is "one hundred sixty-six million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 151 190 209 220 263 302 380 418 526 604 755 836 1045 1052 1315 1510 1661 2090 2630 2869 2893 3020 3322 4180 4997 5260 5738 5786 6644 8305 9994 11476 11572 14345 14465 16610 19988 24985 28690 28930 31559 33220 39713 49970 54967 57380 57860 63118 79426 99940 109934 126236 157795 158852 198565 219868 274835 315590 397130 436843 549670 631180 754547 794260 873686 1099340 1509094 1747372 2184215 3018188 3772735 4368430 7545470 8300017 8736860 15090940 16600034 33200068 41500085 83000170 166000340