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332845140 = 2235311491201
BaseRepresentation
bin10011110101101…
…101000001010100
3212012022021200210
4103311231001110
51140202021030
653010005420
711151064665
oct2365550124
9765267623
10332845140
11160978531
1293576870
1353c5aab4
14322c336c
151e34abb0
hex13d6d054

332845140 has 96 divisors (see below), whose sum is σ = 969292800. Its totient is φ = 85248000.

The previous prime is 332845133. The next prime is 332845147. The reversal of 332845140 is 41548233.

It is an interprime number because it is at equal distance from previous prime (332845133) and next prime (332845147).

It is a super-2 number, since 2×3328451402 = 221571774443239200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 332845098 and 332845107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332845147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276540 + ... + 277740.

It is an arithmetic number, because the mean of its divisors is an integer number (10096800).

Almost surely, 2332845140 is an apocalyptic number.

332845140 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 332845140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484646400).

332845140 is an abundant number, since it is smaller than the sum of its proper divisors (636447660).

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

332845140 is a wasteful number, since it uses less digits than its factorization.

332845140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 332845140 is about 18244.0439596050. The cubic root of 332845140 is about 693.0226146136.

The spelling of 332845140 in words is "three hundred thirty-two million, eight hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 149 155 186 298 310 372 447 465 596 620 745 894 930 1201 1490 1788 1860 2235 2402 2980 3603 4470 4619 4804 6005 7206 8940 9238 12010 13857 14412 18015 18476 23095 24020 27714 36030 37231 46190 55428 69285 72060 74462 92380 111693 138570 148924 178949 186155 223386 277140 357898 372310 446772 536847 558465 715796 744620 894745 1073694 1116930 1789490 2147388 2233860 2684235 3578980 5368470 5547419 10736940 11094838 16642257 22189676 27737095 33284514 55474190 66569028 83211285 110948380 166422570 332845140