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334425080 = 2351119109367
BaseRepresentation
bin10011111011101…
…110101111111000
3212022021112222002
4103323232233320
51141103100310
653103520132
711200365143
oct2373565770
9768245862
10334425080
11161857570
1293bb9048
1354391c82
14325b505a
151e55dda5
hex13eeebf8

334425080 has 128 divisors (see below), whose sum is σ = 874368000. Its totient is φ = 113840640.

The previous prime is 334425059. The next prime is 334425109. The reversal of 334425080 is 80524433.

It is a super-2 number, since 2×3344250802 = 223680268266012800, which contains 22 as substring.

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, 911057 + ... + 911423.

It is an arithmetic number, because the mean of its divisors is an integer number (6831000).

Almost surely, 2334425080 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 334425080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437184000).

334425080 is an abundant number, since it is smaller than the sum of its proper divisors (539942920).

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

334425080 is a wasteful number, since it uses less digits than its factorization.

334425080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 334425080 is about 18287.2928559697. The cubic root of 334425080 is about 694.1174242864.

The spelling of 334425080 in words is "three hundred thirty-four million, four hundred twenty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 109 110 152 190 209 218 220 367 380 418 436 440 545 734 760 836 872 1045 1090 1199 1468 1672 1835 2071 2090 2180 2398 2936 3670 4037 4142 4180 4360 4796 5995 6973 7340 8074 8284 8360 9592 10355 11990 13946 14680 16148 16568 20185 20710 22781 23980 27892 32296 34865 40003 40370 41420 45562 47960 55784 69730 76703 80006 80740 82840 91124 113905 139460 153406 160012 161480 182248 200015 227810 278920 306812 320024 383515 400030 440033 455620 613624 760057 767030 800060 880066 911240 1520114 1534060 1600120 1760132 2200165 3040228 3068120 3520264 3800285 4400330 6080456 7600570 8360627 8800660 15201140 16721254 17601320 30402280 33442508 41803135 66885016 83606270 167212540 334425080