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146608340 = 225172914869
BaseRepresentation
bin10001011110100…
…01000011010100
3101012212110211112
420233101003110
5300012431330
622314154152
73430102364
oct1057210324
9335773745
10146608340
117583601a
1241122958
13244b21c8
14156849a4
15cd0e795
hex8bd10d4

146608340 has 48 divisors (see below), whose sum is σ = 337251600. Its totient is φ = 53286912.

The previous prime is 146608337. The next prime is 146608367. The reversal of 146608340 is 43806641.

It can be written as a sum of positive squares in 8 ways, for example, as 391876 + 146216464 = 626^2 + 12092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146608297 and 146608306.

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, 2426 + ... + 17294.

It is an arithmetic number, because the mean of its divisors is an integer number (7026075).

Almost surely, 2146608340 is an apocalyptic number.

146608340 is a gapful number since it is divisible by the number (10) 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 146608340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168625800).

146608340 is an abundant number, since it is smaller than the sum of its proper divisors (190643260).

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

146608340 is a wasteful number, since it uses less digits than its factorization.

146608340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14924 (or 14922 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 146608340 is about 12108.1930939344. The cubic root of 146608340 is about 527.2940759381.

The spelling of 146608340 in words is "one hundred forty-six million, six hundred eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 14869 29738 59476 74345 148690 252773 297380 431201 505546 862402 1011092 1263865 1724804 2156005 2527730 4312010 5055460 7330417 8624020 14660834 29321668 36652085 73304170 146608340