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270711342 = 233111672729
BaseRepresentation
bin10000001000101…
…011101000101110
3200212101120011000
4100020223220232
51023300230332
642510141130
76465002616
oct2010535056
9625346130
10270711342
1112989a490
12767b17a6
1344114835
1427d4ba46
1518b75b7c
hex1022ba2e

270711342 has 64 divisors (see below), whose sum is σ = 660441600. Its totient is φ = 81512640.

The previous prime is 270711341. The next prime is 270711401. The reversal of 270711342 is 243117072.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270711341) 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, 97834 + ... + 100562.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2270711342 is an apocalyptic number.

270711342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 270711342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

270711342 is an abundant number, since it is smaller than the sum of its proper divisors (389730258).

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

270711342 is a wasteful number, since it uses less digits than its factorization.

270711342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 270711342 is about 16453.3079348805. The cubic root of 270711342 is about 646.8975166285.

The spelling of 270711342 in words is "two hundred seventy million, seven hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 167 198 297 334 501 594 1002 1503 1837 2729 3006 3674 4509 5458 5511 8187 9018 11022 16374 16533 24561 30019 33066 49122 49599 60038 73683 90057 99198 147366 180114 270171 455743 540342 810513 911486 1367229 1621026 2734458 4101687 5013173 8203374 10026346 12305061 15039519 24610122 30079038 45118557 90237114 135355671 270711342