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190330343232 = 26338926551
BaseRepresentation
bin1011000101000010010…
…0101000111101000000
3200012021110010020002120
42301100210220331000
511104244031440412
6223234143444240
716515364136601
oct2612044507500
9605243106076
10190330343232
117379a575a27
1230a792b6680
1314c42bc4a93
1492d7b8dda8
154e3e5bab8c
hex2c50928f40

190330343232 has 84 divisors (see below), whose sum is σ = 504957319776. Its totient is φ = 63270694400.

The previous prime is 190330343227. The next prime is 190330343257. The reversal of 190330343232 is 232343033091.

It is a junction number, because it is equal to n+sod(n) for n = 190330343193 and 190330343202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29050357 + ... + 29056907.

It is an arithmetic number, because the mean of its divisors is an integer number (6011396664).

Almost surely, 2190330343232 is an apocalyptic number.

190330343232 is a gapful number since it is divisible by the number (12) 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 190330343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252478659888).

190330343232 is an abundant number, since it is smaller than the sum of its proper divisors (314626976544).

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

190330343232 is an frugal number, since it uses more digits than its factorization.

190330343232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 33.

The spelling of 190330343232 in words is "one hundred ninety billion, three hundred thirty million, three hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 389 778 1167 1556 2334 3112 4668 6224 6551 9336 12448 13102 18672 19653 24896 26204 37344 39306 52408 74688 78612 104816 151321 157224 209632 302642 314448 419264 453963 605284 628896 907926 1210568 1257792 1815852 2421136 2548339 3631704 4842272 5096678 7263408 7645017 9684544 10193356 14526816 15290034 20386712 29053632 30580068 40773424 61160136 81546848 122320272 163093696 244640544 489281088 991303871 1982607742 2973911613 3965215484 5947823226 7930430968 11895646452 15860861936 23791292904 31721723872 47582585808 63443447744 95165171616 190330343232