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434650112 = 21013103317
BaseRepresentation
bin11001111010000…
…011110000000000
31010021212111212022
4121322003300000
51342232300422
6111044021012
713525315331
oct3172036000
91107774768
10434650112
11203392076
12101691768
136c084020
1441a24288
152825a342
hex19e83c00

434650112 has 88 divisors (see below), whose sum is σ = 947777376. Its totient is φ = 198033408.

The previous prime is 434650087. The next prime is 434650121. The reversal of 434650112 is 211056434.

It is a super-2 number, since 2×4346501122 = 377841439723225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1370978 + ... + 1371294.

Almost surely, 2434650112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473888688).

434650112 is an abundant number, since it is smaller than the sum of its proper divisors (513127264).

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

434650112 is a wasteful number, since it uses less digits than its factorization.

434650112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 434650112 is about 20848.2640044681. The cubic root of 434650112 is about 757.4952815516.

The spelling of 434650112 in words is "four hundred thirty-four million, six hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 206 208 256 317 412 416 512 634 824 832 1024 1268 1339 1648 1664 2536 2678 3296 3328 4121 5072 5356 6592 6656 8242 10144 10712 13184 13312 16484 20288 21424 26368 32651 32968 40576 42848 52736 65302 65936 81152 85696 105472 130604 131872 162304 171392 261208 263744 324608 342784 424463 522416 527488 685568 848926 1044832 1054976 1371136 1697852 2089664 2109952 3395704 4179328 4219904 6791408 8358656 13582816 16717312 27165632 33434624 54331264 108662528 217325056 434650112