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340023488 = 2673773281
BaseRepresentation
bin10100010001000…
…101100011000000
3212200210222112112
4110101011203000
51144021222423
653423514452
711266103060
oct2421054300
9780728475
10340023488
11164a30752
1295a58a28
13555a223c
14332313a0
151ecb7a78
hex144458c0

340023488 has 112 divisors (see below), whose sum is σ = 805671744. Its totient is φ = 139345920.

The previous prime is 340023433. The next prime is 340023493. The reversal of 340023488 is 884320043.

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

It is a super-2 number, since 2×3400234882 = 231231944783372288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209908 + ... + 1210188.

Almost surely, 2340023488 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 340023488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402835872).

340023488 is an abundant number, since it is smaller than the sum of its proper divisors (465648256).

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

340023488 is a wasteful number, since it uses less digits than its factorization.

340023488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 340023488 is about 18439.7258114105. The cubic root of 340023488 is about 697.9692764040.

The spelling of 340023488 in words is "three hundred forty million, twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 73 74 112 146 148 224 259 281 292 296 448 511 518 562 584 592 1022 1036 1124 1168 1184 1967 2044 2072 2248 2336 2368 2701 3934 4088 4144 4496 4672 5402 7868 8176 8288 8992 10397 10804 15736 16352 16576 17984 18907 20513 20794 21608 31472 32704 37814 41026 41588 43216 62944 72779 75628 82052 83176 86432 125888 143591 145558 151256 164104 166352 172864 287182 291116 302512 328208 332704 574364 582232 605024 656416 665408 758981 1148728 1164464 1210048 1312832 1517962 2297456 2328928 3035924 4594912 4657856 5312867 6071848 9189824 10625734 12143696 21251468 24287392 42502936 48574784 85005872 170011744 340023488