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146030340 = 223517612347
BaseRepresentation
bin10001011010000…
…11111100000100
3101011210002222010
420231003330010
5244340432330
622253534220
73422144301
oct1055037404
9334702863
10146030340
1175480835
1240aa4370
132433c0b1
14155740a8
15cc483b0
hex8b43f04

146030340 has 96 divisors (see below), whose sum is σ = 440221824. Its totient is φ = 36034560.

The previous prime is 146030329. The next prime is 146030351. The reversal of 146030340 is 43030641.

It is an interprime number because it is at equal distance from previous prime (146030329) and next prime (146030351).

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, 61047 + ... + 63393.

It is an arithmetic number, because the mean of its divisors is an integer number (4585644).

Almost surely, 2146030340 is an apocalyptic number.

146030340 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 146030340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220110912).

146030340 is an abundant number, since it is smaller than the sum of its proper divisors (294191484).

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

146030340 is a wasteful number, since it uses less digits than its factorization.

146030340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 146030340 is about 12084.3013865097. The cubic root of 146030340 is about 526.6002150487.

Adding to 146030340 its reverse (43030641), we get a palindrome (189060981).

The spelling of 146030340 in words is "one hundred forty-six million, thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 61 68 85 102 122 170 183 204 244 255 305 340 366 510 610 732 915 1020 1037 1220 1830 2074 2347 3111 3660 4148 4694 5185 6222 7041 9388 10370 11735 12444 14082 15555 20740 23470 28164 31110 35205 39899 46940 62220 70410 79798 119697 140820 143167 159596 199495 239394 286334 398990 429501 478788 572668 598485 715835 797980 859002 1196970 1431670 1718004 2147505 2393940 2433839 2863340 4295010 4867678 7301517 8590020 9735356 12169195 14603034 24338390 29206068 36507585 48676780 73015170 146030340