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340514496 = 2633728151
BaseRepresentation
bin10100010010111…
…101011011000000
3212201201221002000
4110102331123000
51144132430441
653442224000
711303216430
oct2422753300
9781657060
10340514496
11165236643
1296055000
135571488a
143331c2c0
151ed632b6
hex144bd6c0

340514496 has 112 divisors (see below), whose sum is σ = 1144097280. Its totient is φ = 97286400.

The previous prime is 340514479. The next prime is 340514519. The reversal of 340514496 is 694415043.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3405144962 = 231900243972268032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 340514496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1980 + ... + 26171.

Almost surely, 2340514496 is an apocalyptic number.

340514496 is a gapful number since it is divisible by the number (36) 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 340514496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572048640).

340514496 is an abundant number, since it is smaller than the sum of its proper divisors (803582784).

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

340514496 is a wasteful number, since it uses less digits than its factorization.

340514496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28179 (or 28163 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 340514496 is about 18453.0348723455. The cubic root of 340514496 is about 698.3050803323.

The spelling of 340514496 in words is "three hundred forty million, five hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 28151 56302 84453 112604 168906 197057 225208 253359 337812 394114 450416 506718 591171 675624 760077 788228 900832 1013436 1182342 1351248 1520154 1576456 1773513 1801664 2026872 2364684 2702496 3040308 3152912 3547026 4053744 4729368 5320539 5404992 6080616 6305824 7094052 8107488 9458736 10641078 12161232 12611648 14188104 16214976 18917472 21282156 24322464 28376208 37834944 42564312 48644928 56752416 85128624 113504832 170257248 340514496