Search a number
-
+
332496990 = 232575211013
BaseRepresentation
bin10011110100011…
…000000001011110
3212011122121010100
4103310120001132
51140104400430
652554321530
711145114660
oct2364300136
9764577110
10332496990
1116075aa01
12934292a6
1353b684a7
1432232530
151e2cc960
hex13d1805e

332496990 has 96 divisors (see below), whose sum is σ = 990864576. Its totient is φ = 75778560.

The previous prime is 332496973. The next prime is 332497001. The reversal of 332496990 is 99694233.

It is a super-2 number, since 2×3324969902 = 221108496718120200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 327724 + ... + 328736.

It is an arithmetic number, because the mean of its divisors is an integer number (10321506).

Almost surely, 2332496990 is an apocalyptic number.

332496990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 18234×18235.

It is a practical number, because each smaller number is the sum of distinct divisors of 332496990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495432288).

332496990 is an abundant number, since it is smaller than the sum of its proper divisors (658367586).

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

332496990 is a wasteful number, since it uses less digits than its factorization.

332496990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 332496990 is about 18234.4999931449. The cubic root of 332496990 is about 692.7809006086.

The spelling of 332496990 in words is "three hundred thirty-two million, four hundred ninety-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 521 630 1013 1042 1563 2026 2605 3039 3126 3647 4689 5065 5210 6078 7091 7294 7815 9117 9378 10130 10941 14182 15195 15630 18234 18235 21273 21882 23445 30390 32823 35455 36470 42546 45585 46890 54705 63819 65646 70910 91170 106365 109410 127638 164115 212730 319095 328230 527773 638190 1055546 1583319 2638865 3166638 3694411 4749957 5277730 7388822 7916595 9499914 11083233 15833190 18472055 22166466 23749785 33249699 36944110 47499570 55416165 66499398 110832330 166248495 332496990