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334487040 = 293597449
BaseRepresentation
bin10011111011111…
…101111000000000
3212022101200221220
4103323331320000
51141112041130
653105115040
711201043606
oct2373757000
9768350856
10334487040
1116189a078
1294028a80
13543b4234
14325cd876
151e572410
hex13efde00

334487040 has 160 divisors (see below), whose sum is σ = 1082743200. Its totient is φ = 88080384.

The previous prime is 334487011. The next prime is 334487047. The reversal of 334487040 is 40784433.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×3344870402 = 223763159855923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334486992 and 334487010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334487047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744736 + ... + 745184.

It is an arithmetic number, because the mean of its divisors is an integer number (6767145).

Almost surely, 2334487040 is an apocalyptic number.

334487040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541371600).

334487040 is an abundant number, since it is smaller than the sum of its proper divisors (748256160).

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

334487040 is an equidigital number, since it uses as much as digits as its factorization.

334487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 334487040 is about 18288.9868500144. The cubic root of 334487040 is about 694.1602887548.

The spelling of 334487040 in words is "three hundred thirty-four million, four hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 160 192 194 240 256 291 320 384 388 449 480 485 512 582 640 768 776 898 960 970 1164 1280 1347 1455 1536 1552 1796 1920 1940 2245 2328 2560 2694 2910 3104 3592 3840 3880 4490 4656 5388 5820 6208 6735 7184 7680 7760 8980 9312 10776 11640 12416 13470 14368 15520 17960 18624 21552 23280 24832 26940 28736 31040 35920 37248 43104 43553 46560 49664 53880 57472 62080 71840 74496 86208 87106 93120 107760 114944 124160 130659 143680 148992 172416 174212 186240 215520 217765 229888 248320 261318 287360 344832 348424 372480 431040 435530 522636 574720 653295 689664 696848 744960 862080 871060 1045272 1149440 1306590 1393696 1724160 1742120 2090544 2613180 2787392 3448320 3484240 4181088 5226360 5574784 6968480 8362176 10452720 11149568 13936960 16724352 20905440 22299136 27873920 33448704 41810880 55747840 66897408 83621760 111495680 167243520 334487040