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190344432 = 243191131847
BaseRepresentation
bin10110101100001…
…10110011110000
3111021011111110210
423112012303300
5342212010212
630515424120
74500621015
oct1326066360
9437144423
10190344432
1198498653
12538b5040
1330586455
141b3cb70c
1511a9d53c
hexb586cf0

190344432 has 80 divisors (see below), whose sum is σ = 522466560. Its totient is φ = 59544576.

The previous prime is 190344431. The next prime is 190344439. The reversal of 190344432 is 234443091.

190344432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 190344432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190344431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102133 + ... + 103979.

It is an arithmetic number, because the mean of its divisors is an integer number (6530832).

Almost surely, 2190344432 is an apocalyptic number.

190344432 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 190344432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261233280).

190344432 is an abundant number, since it is smaller than the sum of its proper divisors (332122128).

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

190344432 is a wasteful number, since it uses less digits than its factorization.

190344432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 190344432 is about 13796.5369567874. The cubic root of 190344432 is about 575.2368848789.

The spelling of 190344432 in words is "one hundred ninety million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 113 114 152 226 228 304 339 452 456 678 904 912 1356 1808 1847 2147 2712 3694 4294 5424 5541 6441 7388 8588 11082 12882 14776 17176 22164 25764 29552 34352 35093 44328 51528 70186 88656 103056 105279 140372 208711 210558 280744 417422 421116 561488 626133 834844 842232 1252266 1669688 1684464 2504532 3339376 3965509 5009064 7931018 10018128 11896527 15862036 23793054 31724072 47586108 63448144 95172216 190344432