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146345430 = 23571163353
BaseRepresentation
bin10001011100100…
…00110111010110
3101012101010012010
420232100313112
5244431023210
622304405050
73424626030
oct1056206726
9335333163
10146345430
1175676540
1241016786
132441c63a
1415616c50
15ccab920
hex8b90dd6

146345430 has 64 divisors (see below), whose sum is σ = 437902848. Its totient is φ = 30408960.

The previous prime is 146345417. The next prime is 146345443. The reversal of 146345430 is 34543641.

146345430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146345417) and next prime (146345443).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 29367 + ... + 33986.

It is an arithmetic number, because the mean of its divisors is an integer number (6842232).

Almost surely, 2146345430 is an apocalyptic number.

146345430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146345430 is an abundant number, since it is smaller than the sum of its proper divisors (291557418).

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

146345430 is a wasteful number, since it uses less digits than its factorization.

146345430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63381.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 146345430 is about 12097.3315239354. The cubic root of 146345430 is about 526.9786917969.

The spelling of 146345430 in words is "one hundred forty-six million, three hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 63353 126706 190059 316765 380118 443471 633530 696883 886942 950295 1330413 1393766 1900590 2090649 2217355 2660826 3484415 4181298 4434710 4878181 6652065 6968830 9756362 10453245 13304130 14634543 20906490 24390905 29269086 48781810 73172715 146345430