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540333376 = 26117431033
BaseRepresentation
bin100000001101001…
…101010101000000
31101122201210001021
4200031031111000
52101311132001
6125341115224
716250520652
oct4015152500
91348653037
10540333376
11258005510
12130b58b14
1387c375bb
1451a946d2
1532683ba1
hex2034d540

540333376 has 56 divisors (see below), whose sum is σ = 1172407104. Its totient is φ = 245038080.

The previous prime is 540333349. The next prime is 540333397. The reversal of 540333376 is 673333045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522556 + ... + 523588.

Almost surely, 2540333376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540333376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586203552).

540333376 is an abundant number, since it is smaller than the sum of its proper divisors (632073728).

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

540333376 is a wasteful number, since it uses less digits than its factorization.

540333376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 34.

The square root of 540333376 is about 23245.0720799055. The cubic root of 540333376 is about 814.4928285950.

The spelling of 540333376 in words is "five hundred forty million, three hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 743 1033 1486 2066 2972 4132 5944 8173 8264 11363 11888 16346 16528 22726 23776 32692 33056 45452 47552 65384 66112 90904 130768 181808 261536 363616 523072 727232 767519 1535038 3070076 6140152 8442709 12280304 16885418 24560608 33770836 49121216 67541672 135083344 270166688 540333376