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3415230120 = 2335233122147
BaseRepresentation
bin1100101110010000…
…0100011010101000
322211000100122222110
43023210010122220
523443244330440
61322520122320
7150426656061
oct31344043250
98730318873
103415230120
1114a2898a35
127b39063a0
13425729133
14245813568
1514ec65080
hexcb9046a8

3415230120 has 64 divisors (see below), whose sum is σ = 10289747520. Its totient is φ = 906811904.

The previous prime is 3415230109. The next prime is 3415230121. The reversal of 3415230120 is 210325143.

It is not an unprimeable number, because it can be changed into a prime (3415230121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33114 + ... + 89033.

It is an arithmetic number, because the mean of its divisors is an integer number (160777305).

Almost surely, 23415230120 is an apocalyptic number.

3415230120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3415230120 is an abundant number, since it is smaller than the sum of its proper divisors (6874517400).

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

3415230120 is a wasteful number, since it uses less digits than its factorization.

3415230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122394 (or 122390 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3415230120 is about 58439.9702258651. The cubic root of 3415230120 is about 1505.9364921571.

Adding to 3415230120 its reverse (210325143), we get a palindrome (3625555263).

The spelling of 3415230120 in words is "three billion, four hundred fifteen million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 466 699 932 1165 1398 1864 2330 2796 3495 4660 5592 6990 9320 13980 27960 122147 244294 366441 488588 610735 732882 977176 1221470 1465764 1832205 2442940 2931528 3664410 4885880 7328820 14657640 28460251 56920502 85380753 113841004 142301255 170761506 227682008 284602510 341523012 426903765 569205020 683046024 853807530 1138410040 1707615060 3415230120