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340180992 = 21433769
BaseRepresentation
bin10100010001101…
…100000000000000
3212201002222121000
4110101230000000
51144041242432
653431132000
711300330214
oct2421540000
9781088530
10340180992
11165029018
1295b14000
1355628b38
1433272944
151ece957c
hex1446c000

340180992 has 120 divisors (see below), whose sum is σ = 1009223600. Its totient is φ = 113246208.

The previous prime is 340180987. The next prime is 340181027. The reversal of 340180992 is 299081043.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 441984 + ... + 442752.

Almost surely, 2340180992 is an apocalyptic number.

340180992 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 340180992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504611800).

340180992 is an abundant number, since it is smaller than the sum of its proper divisors (669042608).

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

340180992 is an frugal number, since it uses more digits than its factorization.

340180992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 340180992 is about 18443.9960962911. The cubic root of 340180992 is about 698.0770297279.

The spelling of 340180992 in words is "three hundred forty million, one hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 769 864 1024 1152 1536 1538 1728 2048 2304 2307 3072 3076 3456 4096 4608 4614 6144 6152 6912 6921 8192 9216 9228 12288 12304 13824 13842 16384 18432 18456 20763 24576 24608 27648 27684 36864 36912 41526 49152 49216 55296 55368 73728 73824 83052 98432 110592 110736 147456 147648 166104 196864 221184 221472 295296 332208 393728 442368 442944 590592 664416 787456 885888 1181184 1328832 1574912 1771776 2362368 2657664 3149824 3543552 4724736 5315328 6299648 7087104 9449472 10630656 12599296 14174208 18898944 21261312 28348416 37797888 42522624 56696832 85045248 113393664 170090496 340180992