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146744340 = 223517473061
BaseRepresentation
bin10001011111100…
…10010000010100
3101020010101101120
420233302100110
5300031304330
622321123540
73431210031
oct1057622024
9336111346
10146744340
1175919216
12411895b0
132452c092
14156bc388
15cd39c10
hex8bf2414

146744340 has 96 divisors (see below), whose sum is σ = 444455424. Its totient is φ = 36034560.

The previous prime is 146744303. The next prime is 146744341. The reversal of 146744340 is 43447641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146744341) 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, 46410 + ... + 49470.

It is an arithmetic number, because the mean of its divisors is an integer number (4629744).

Almost surely, 2146744340 is an apocalyptic number.

146744340 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 146744340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222227712).

146744340 is an abundant number, since it is smaller than the sum of its proper divisors (297711084).

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

146744340 is a wasteful number, since it uses less digits than its factorization.

146744340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 146744340 is about 12113.8078241319. The cubic root of 146744340 is about 527.4570721938.

The spelling of 146744340 in words is "one hundred forty-six million, seven hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 170 188 204 235 255 282 340 470 510 564 705 799 940 1020 1410 1598 2397 2820 3061 3196 3995 4794 6122 7990 9183 9588 11985 12244 15305 15980 18366 23970 30610 36732 45915 47940 52037 61220 91830 104074 143867 156111 183660 208148 260185 287734 312222 431601 520370 575468 624444 719335 780555 863202 1040740 1438670 1561110 1726404 2158005 2445739 2877340 3122220 4316010 4891478 7337217 8632020 9782956 12228695 14674434 24457390 29348868 36686085 48914780 73372170 146744340