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4341250416 = 2431931433571
BaseRepresentation
bin1000000101100001…
…00011100101110000
3102012112211101000110
410002300203211300
532342330003131
61554440021320
7212403006516
oct40260434560
912175741013
104341250416
111928582768
12a11a61840
13542533239
142d27c44b6
151a61d1646
hex102c23970

4341250416 has 160 divisors (see below), whose sum is σ = 12472852480. Its totient is φ = 1295481600.

The previous prime is 4341250399. The next prime is 4341250421. The reversal of 4341250416 is 6140521434.

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, 1213911 + ... + 1217481.

It is an arithmetic number, because the mean of its divisors is an integer number (77955328).

Almost surely, 24341250416 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 4341250416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236426240).

4341250416 is an abundant number, since it is smaller than the sum of its proper divisors (8131602064).

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

4341250416 is a wasteful number, since it uses less digits than its factorization.

4341250416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4341250416 is about 65888.1659784213. The cubic root of 4341250416 is about 1631.3166893832.

The spelling of 4341250416 in words is "four billion, three hundred forty-one million, two hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 43 48 57 62 76 86 93 114 124 129 152 172 186 228 248 258 304 344 372 456 496 516 589 688 744 817 912 1032 1178 1333 1488 1634 1767 2064 2356 2451 2666 3268 3534 3571 3999 4712 4902 5332 6536 7068 7142 7998 9424 9804 10664 10713 13072 14136 14284 15996 19608 21328 21426 25327 28272 28568 31992 39216 42852 50654 57136 63984 67849 75981 85704 101308 110701 135698 151962 153553 171408 202616 203547 221402 271396 303924 307106 332103 405232 407094 442804 460659 542792 607848 614212 664206 814188 885608 921318 1085584 1215696 1228424 1328412 1628376 1771216 1842636 2103319 2456848 2656824 2917507 3256752 3685272 4206638 4760143 5313648 5835014 6309957 7370544 8413276 8752521 9520286 11670028 12619914 14280429 16826552 17505042 19040572 23340056 25239828 28560858 33653104 35010084 38081144 46680112 50479656 57121716 70020168 76162288 90442717 100959312 114243432 140040336 180885434 228486864 271328151 361770868 542656302 723541736 1085312604 1447083472 2170625208 4341250416