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340743072 = 25331611877
BaseRepresentation
bin10100010011110…
…101001110100000
3212202011112121210
4110103311032200
51144212234242
653451150120
711305161015
oct2423651640
9782145553
10340743072
1116538234a
1296145340
1355794927
143337b70c
151edaad9c
hex144f53a0

340743072 has 96 divisors (see below), whose sum is σ = 938939904. Its totient is φ = 108057600.

The previous prime is 340743043. The next prime is 340743083. The reversal of 340743072 is 270347043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3407430722 = 232211682231994368, which contains 22 as substring.

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, 180598 + ... + 182474.

It is an arithmetic number, because the mean of its divisors is an integer number (9780624).

Almost surely, 2340743072 is an apocalyptic number.

340743072 is a gapful number since it is divisible by the number (32) 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 340743072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469469952).

340743072 is an abundant number, since it is smaller than the sum of its proper divisors (598196832).

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

340743072 is a wasteful number, since it uses less digits than its factorization.

340743072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 340743072 is about 18459.2272861027. The cubic root of 340743072 is about 698.4612950038.

The spelling of 340743072 in words is "three hundred forty million, seven hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 183 186 244 248 366 372 488 496 732 744 976 992 1464 1488 1877 1891 1952 2928 2976 3754 3782 5631 5673 5856 7508 7564 11262 11346 15016 15128 22524 22692 30032 30256 45048 45384 58187 60064 60512 90096 90768 114497 116374 174561 180192 181536 228994 232748 343491 349122 457988 465496 686982 698244 915976 930992 1373964 1396488 1831952 1861984 2747928 2792976 3549407 3663904 5495856 5585952 7098814 10648221 10991712 14197628 21296442 28395256 42592884 56790512 85185768 113581024 170371536 340743072