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335380480 = 21552389
BaseRepresentation
bin10011111111011…
…000000000000000
3212101002002112021
4103333120000000
51141324133410
653140211224
711211454441
oct2377300000
9771062467
10335380480
1116234a356
1294399b14
1354637ab6
14327832c8
151e69beda
hex13fd8000

335380480 has 128 divisors (see below), whose sum is σ = 849333600. Its totient is φ = 126877696.

The previous prime is 335380477. The next prime is 335380489. The reversal of 335380480 is 84083533.

335380480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3353804802 = 224960132730060800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335380489) by changing a digit.

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, 3768276 + ... + 3768364.

Almost surely, 2335380480 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 335380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424666800).

335380480 is an abundant number, since it is smaller than the sum of its proper divisors (513953120).

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

335380480 is an frugal number, since it uses more digits than its factorization.

335380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 335380480 is about 18313.3961896749. The cubic root of 335380480 is about 694.7777907010. Note that the first 4 decimals are identical.

The spelling of 335380480 in words is "three hundred thirty-five million, three hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 89 92 115 128 160 178 184 230 256 320 356 368 445 460 512 640 712 736 890 920 1024 1280 1424 1472 1780 1840 2047 2048 2560 2848 2944 3560 3680 4094 4096 5120 5696 5888 7120 7360 8188 8192 10235 10240 11392 11776 14240 14720 16376 16384 20470 20480 22784 23552 28480 29440 32752 32768 40940 40960 45568 47104 56960 58880 65504 81880 81920 91136 94208 113920 117760 131008 163760 163840 182272 188416 227840 235520 262016 327520 364544 376832 455680 471040 524032 655040 729088 753664 911360 942080 1048064 1310080 1458176 1822720 1884160 2096128 2620160 2916352 3645440 3768320 4192256 5240320 7290880 8384512 10480640 14581760 16769024 20961280 33538048 41922560 67076096 83845120 167690240 335380480