Search a number
-
+
332154240 = 27351115727
BaseRepresentation
bin10011110011000…
…100010110000000
3212011000011221220
4103303010112000
51140012413430
652543115040
711142156465
oct2363042600
9764004856
10332154240
11160546440
12932a2a80
1353a78492
143218366c
151e261110
hex13cc4580

332154240 has 128 divisors (see below), whose sum is σ = 1155064320. Its totient is φ = 80517120.

The previous prime is 332154239. The next prime is 332154269. The reversal of 332154240 is 42451233.

332154240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3321542402 = 220652878299955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 332154240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13257 + ... + 28983.

It is an arithmetic number, because the mean of its divisors is an integer number (9023940).

Almost surely, 2332154240 is an apocalyptic number.

332154240 is a gapful number since it is divisible by the number (30) 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 332154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577532160).

332154240 is an abundant number, since it is smaller than the sum of its proper divisors (822910080).

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

332154240 is a wasteful number, since it uses less digits than its factorization.

332154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15760 (or 15748 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 332154240 is about 18225.0991766849. The cubic root of 332154240 is about 692.5427708425.

The spelling of 332154240 in words is "three hundred thirty-two million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 15727 21120 31454 47181 62908 78635 94362 125816 157270 172997 188724 235905 251632 314540 345994 377448 471810 503264 518991 629080 691988 754896 864985 943620 1006528 1037982 1258160 1383976 1509792 1729970 1887240 2013056 2075964 2516320 2594955 2767952 3019584 3459940 3774480 4151928 5032640 5189910 5535904 6039168 6919880 7548960 8303856 10065280 10379820 11071808 13839760 15097920 16607712 20759640 22143616 27679520 30195840 33215424 41519280 55359040 66430848 83038560 110718080 166077120 332154240