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334290320 = 24571347977
BaseRepresentation
bin10011111011001…
…101110110010000
3212022000201002222
4103323031312100
51141034242240
653101000212
711166264230
oct2373156620
9768021088
10334290320
111617752a1
1293b53068
1354345830
143257bcc0
151e533eb5
hex13ecdd90

334290320 has 160 divisors (see below), whose sum is σ = 977937408. Its totient is φ = 103440384.

The previous prime is 334290263. The next prime is 334290347. The reversal of 334290320 is 23092433.

It is a super-2 number, since 2×3342903202 = 223500036091404800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 334290320.

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, 341672 + ... + 342648.

Almost surely, 2334290320 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 334290320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488968704).

334290320 is an abundant number, since it is smaller than the sum of its proper divisors (643647088).

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

334290320 is a wasteful number, since it uses less digits than its factorization.

334290320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 334290320 is about 18283.6079590435. The cubic root of 334290320 is about 694.0241778597.

The spelling of 334290320 in words is "three hundred thirty-four million, two hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 47 52 56 65 70 80 91 94 104 112 130 140 182 188 208 235 260 280 329 364 376 455 470 520 560 611 658 728 752 910 940 977 1040 1222 1316 1456 1645 1820 1880 1954 2444 2632 3055 3290 3640 3760 3908 4277 4885 4888 5264 6110 6580 6839 7280 7816 8554 9770 9776 12220 12701 13160 13678 15632 17108 19540 21385 24440 25402 26320 27356 34195 34216 39080 42770 45919 48880 50804 54712 63505 68390 68432 78160 85540 88907 91838 101608 109424 127010 136780 171080 177814 183676 203216 229595 254020 273560 321433 342160 355628 367352 444535 459190 508040 547120 596947 642866 711256 734704 889070 918380 1016080 1193894 1285732 1422512 1607165 1778140 1836760 2387788 2571464 2984735 3214330 3556280 3673520 4178629 4775576 5142928 5969470 6428660 7112560 8357258 9551152 11938940 12857320 16714516 20893145 23877880 25714640 33429032 41786290 47755760 66858064 83572580 167145160 334290320