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434103354120 = 23354384128557
BaseRepresentation
bin1100101000100101001…
…00111000001100001000
31112111111102001021000110
412110102210320030020
524103020424312440
6531231353234320
743235325425262
oct6242244701410
91474442037013
10434103354120
11158114032087
12701704029a0
1331c21b71217
1417021586b32
15b45a8b1080
hex6512938308

434103354120 has 64 divisors (see below), whose sum is σ = 1332596358720. Its totient is φ = 113068779264.

The previous prime is 434103354101. The next prime is 434103354121. The reversal of 434103354120 is 21453301434.

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

It is not an unprimeable number, because it can be changed into a prime (434103354121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42059119 + ... + 42069438.

It is an arithmetic number, because the mean of its divisors is an integer number (20821818105).

Almost surely, 2434103354120 is an apocalyptic number.

434103354120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434103354120 is an abundant number, since it is smaller than the sum of its proper divisors (898493004600).

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

434103354120 is a wasteful number, since it uses less digits than its factorization.

434103354120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84128614 (or 84128610 counting only the distinct ones).

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

Adding to 434103354120 its reverse (21453301434), we get a palindrome (455556655554).

The spelling of 434103354120 in words is "four hundred thirty-four billion, one hundred three million, three hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 84128557 168257114 252385671 336514228 420642785 504771342 673028456 841285570 1009542684 1261928355 1682571140 2019085368 2523856710 3365142280 3617527951 5047713420 7235055902 10095426840 10852583853 14470111804 18087639755 21705167706 28940223608 36175279510 43410335412 54262919265 72350559020 86820670824 108525838530 144701118040 217051677060 434103354120