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71937342 = 2332971647
BaseRepresentation
bin1000100100110…
…10110100111110
312000100210111000
410102122310332
5121403443332
611045511130
71532312601
oct422326476
9160323430
1071937342
1137674654
12201124a6
1311b99599
1497a8338
1564aeb7c
hex449ad3e

71937342 has 64 divisors (see below), whose sum is σ = 167961600. Its totient is φ = 22790880.

The previous prime is 71937331. The next prime is 71937367. The reversal of 71937342 is 24373917.

It is a junction number, because it is equal to n+sod(n) for n = 71937297 and 71937306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110863 + ... + 111509.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 271937342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71937342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83980800).

71937342 is an abundant number, since it is smaller than the sum of its proper divisors (96024258).

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

71937342 is a wasteful number, since it uses less digits than its factorization.

71937342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 71937342 is about 8481.5884125558. The cubic root of 71937342 is about 415.8960500565.

It can be divided in two parts, 7193 and 7342, that added together give a triangular number (14535 = T170).

The spelling of 71937342 in words is "seventy-one million, nine hundred thirty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 71 87 142 174 213 261 426 522 639 647 783 1278 1294 1566 1917 1941 2059 3834 3882 4118 5823 6177 11646 12354 17469 18531 18763 34938 37062 37526 45937 55593 56289 91874 111186 112578 137811 168867 275622 337734 413433 506601 826866 1013202 1240299 1332173 2480598 2664346 3996519 7993038 11989557 23979114 35968671 71937342